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Tiêu đề Case Study on Linear Programming Problem in Management Science
Người hướng dẫn MSc. Le Anh Huyen Tram
Trường học University of Economics Ho Chi Minh City
Chuyên ngành Management Science
Thể loại Essay
Năm xuất bản 2021
Thành phố Binh Phuoc
Định dạng
Số trang 45
Dung lượng 475,77 KB

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Untitled UEH UNIVERSITY BUSINESS SCHOOL INTERNATIONAL BUSINESS – MARKETING FACULTY ESSAY SUBJECT MANAGEMENT SCIENCE Lecturer MSc Le Anh Huyen Tram Student Ph m Th Bích Ngânạ ị Date of birth 07/09/2002[.]

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UEH UNIVERSITY BUSINESS SCHOOL INTERNATIONAL BUSINESS – MARKETING FACULTY

ESSAY

SUBJECT: MANAGEMENT SCIENCE

Lecturer: MSc Le Anh Huyen Tram

Date of birth: 07/09/2002

ID Student: 31201021421 Class code: 21C1PHY51400146

Binh Phuoc, 20 th December 2021

CASE STUDY 1:

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1 Which category of linear programming problem does this problem fit? Why?

Linear programming problem of this problem is a mixed problem

We have the concept of a mixed problem as: Any linear programming problem that includes

at least two of the three types of functional constraints (resource constraints, benefitconstraints, and fixed-requirement constraints) Beacause this linear programming problemhas the functional constraints with “” and “=” sign It mixed resource constraints "" andfixed-requirement constraints "=", so it is called mixed problem

2 Express the mathematical model of this problem.

Maximize the assigned hours multiplied by the suitability of a consultant for a project

= 3A1 + 3A2 + 5A3 + 5A4 + 3A5 + 3A6 + 3A7 + 3A8 + 3B1 + 3B2 + 2B3 + 5B4 + 5B5 + 5B6 +3B7 + 3B8 + 2C1 + 1C2 + 3C3 + 3C4 + 2C5 + 1C6 + 5C7 + 3C8 + 1D1 + 3D2 + 1D3 + 1D4 + 2D5

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5 Export the sensitivity report and interpret every line of this report.

Interpret the sensitivity report:

● Variable Cells:

C14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant C

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assigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant A for project 1 varies from 1 to 4.04167

D14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if the

lOMoARcPSD|17160101

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E14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant A for project 3 varies 5

F14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant A for project 4 varies 5

G14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant A for project 5 varies from 1 to 5

lOMoARcPSD|17160101

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H14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant A for project 6 varies from 1 to 5

I14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant A for project 7 varies from 1 to 5

J14: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant A for project 8 varies from 1 to 5

lOMoARcPSD|17160101

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C15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 1 varies from 1 to 3.9167

D15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 2 varies from 1 to 5

E15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 3 varies from 1 to 5

lOMoARcPSD|17160101

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F15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 4 varies 5

G15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

Downloaded by Free Games Android (vuchinhhp1@gmail.com)

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 5 varies from 4 to 5

H15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 6 varies 5

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I15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 7 varies from 1 to 5

J15: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant B for project 8 varies from 1 to 5

C16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 1 varies from 1 to 2.125

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D16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 2 varies from 1 to 3

E16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 3 varies 3

F16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 4 varies from 1 to 5

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G16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 5 varies from 1 to 3

H16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 6 varies from 1 to 3

I16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 7 varies 5

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J16: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant C for project 8 varies from 1 to 3

C17: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant D for project 1 varies from 1 to 3.25

D17: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant D for project 2 varies 3

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E17: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant D for project 3 varies from 1 to 3

F17: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

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4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant D for project 4 varies from 1 to 3

G17: When the objective coefficients (the suitability of a consultant for a project) are 3 point,

3 point, 5 point, 5 point, 3 point, 3 point, 3 point, 3 point, 3 point, 3 point, 2 point, 5 point, 5point, 5 point, 3 point, 3 point, 2 point, 1 point, 3 point, 3 point, 2 point, 1 point, 5 point, 3 point,

1 point, 3 point, 1 point, 1 point, 2 point, 2 point, 5 point, 1 point, 3 point, 1 point, 1 point, 2point, 2 point, 1 point, 3 point, 3 point, 4 point, 5 point, 3 point, 2 point, 3 point, 5 point, 4 point,

3 point, the optimal solution for each consultant are: Consultant A assigned 0 hours for project 1,

0 hours for project 2, 190 hours for project 3, 260 hours for project 4, 0 hours for project 5, 0hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant B assigned 0 hours forproject 1, 0 hours for project 2, 0 hours for project 3, 215 hours for project 4, 350 hours forproject 5, 35 hours for project 6, 0 hours for project 7, 0 hours for project 8; Consultant Cassigned 0 hours for project 1, 0 hours for project 2, 210 hours for project 3, 0 hours for project

4, 0 hours for project 5, 0 hours for project 6, 290 hours for project 7, 0 hours for project 8;Consultant D assigned 0 hours for project 1, 96.6667 hours for project 2, 0 hours for project 3, 0hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7, 0 hours forproject 8; Consultant E assigned 208.3333 hours for project 1, 0 hours for project 2, 0 hours forproject 3, 0 hours for project 4, 0 hours for project 5, 0 hours for project 6, 0 hours for project 7,

200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours forproject 2, 0 hours for project 3, 0 hours for project 4, 0 hours for project 5, 425 hours for project

6, 0 hours for project 7, 0 hours for project 8 This optimal solution will keep intact if thesuitability of consultant D for project 5 varies from 1 to 3

lOMoARcPSD|17160101

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