TIỂU LUẬN formulate a linear programming model and write down the mathematical model for this problem

If the company want to maximize revenue while ignoring client preferences and consultant compatibility, will the solution in b change or not?. If the capacity for consultant B and E for

Trang 1

ĐẠI HỌC UEH TRƯỜNG KINH DOANH KHOA KINH DOANH QUỐC TẾ - MARKETING

Trang 2

KHOA KINH DOANH QUỐC TẾ - MARKETING

TIỂU LUẬN Môn học: Khoa học quản trị (Management Sciene)

Giảng viên: Nguyễn Thị Hồng Thu

Mã lớp học phần: 21C1BUS50306804 Sinh viên: Nguyễn Phương Uyên Khóa – Lớp: K46 - FTC01 MSSV: 31201024693

TP Hồ Chí Minh, ngày 24 tháng 11 năm 2021

Trang 3

TIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemTIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemTIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemTIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemTIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemTIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemTIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemTIEU.LUAN.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem

Trang 5

Trang 6

TABLE OF CONTENT PART I: LINEAR PROGRAMMING PROBLEM

1 Formulate a linear programming model and write down the mathematical model for

this problem 6

2 Way to solve this problem using QM and SOLVER 8

3 If the company want to maximize revenue while ignoring client preferences and consultant compatibility, will the solution in b change or not ? 9

4 Create a sensitivity report Find out about the shadow price in this case ? 10

5 If consultant A and E change their hourly wage from $155 to $200 (A) and from $270 to $200, will the solution change ? 15

6 If the capacity for consultant B and E for every project now minimum start from three instead of 1 or 2, will the shadow price change ? 16

PART II: DECISION MAKING PROBLEM 1 Draw a decision tree to help Petrolimex choose what’s best for the profit 21

PART III: FORECASTING 1 Calculate the forecasting demand using Weighted Moving Average Method, with the weighted factor of 0,40; 0,20; 0,40 26

2 Calculate the forecast using 3-month average method 27

3 Calculate the forecast using last-value method 27

4 Explain 3 methods of forecast Which one is better and more accurate ? 28

Trang 7

Trang 8

PART 1: LINEAR PROGRAMMING PROBLEM

UDT is a consulting firm that develops e-commerce project, systems and websites for its clients It has six available consultants and eight clients project is under contract The consultants have different technical abilities and experience, and as a result, the company charges different hourly rates for its services Also, the consultant’s skill are more suited for some projects than others, and clients sometimes prefer some consultants over others The suitability of a consultant for a project is rated according to a 5-point scale, in which 1 is the worst and 5 is the best The following table shows the rating for each consultant for each project, as well as the hours available for each consultant and the contracted hours and maximum budget for each project :

Project Consultant Hourly

510 240 420 475 350 460 290 200

Contract budget (x1000 USD)

90 80 110 90 65 85 50 55

The company wants to know how many hours to assign each consultant to each project in order

to best utilize their skill while meeting clients needs

Trang 9

Trang 10

a Formulate a linear programming model and write down the mathematical model for this problem

b Solve this problem using QM and SOLVER

c If the company want to maximize revenue while ignoring client preferences and consultant compatibility, will this change the solution in b ?

d Create a sensitivity report What is the shadow price in this case ?

e If consultant A and E change their hourly wage from $155 to $200 (A) and from $270 to

$200, will the solution change ?

f By exprerience, consultant B and E is getting better at their ability, which mean their capacity for every project now minimum start from 3 instead of 1 or 2, will the shadow price change ?

*These variables are defined below:

Hence let H i : the hour used by each consultant (i=A,B…F)

HW i : the hourly wage for each consultant (i=A,B F)

HA i : the hour available for each consultant (i=A,B F)

WP j : the wage per hours of each project (j=1,2 8)

PH j : the contracted hours for every project (j=1,2, 8)

CB J : the contract budget for every project (j=1,2 8) Then

Hij: the hour used by each consultant for every project where (i=A,B…F) and (j=1,2 8)

Trang 11

Trang 12

*The constraint is calculated:

⚫ The total sum of the hours used by each consultant for every project is smaller than or equal the hours available for each consultant

Trang 13

Trang 14

b Solve the problem using Excel and QM

+ Using Excel Solver

+ Using QM (in file NguyenPhuongUyen QM1)

Trang 15

Trang 16

c If the company want to maximize revenue while ignoring client preferences and

consultant compatibility, will the solution in b change?

If the company want to maximize revenue while ignoring client preferences and consultant compatibility, the solution in b changewill change, as the new total profit would be $597200 but

it will affect the customer preferences and the compatibility of the consultant highly

d Create a sensitivity report (file Sensitivity Report d) The shadow price in this case is

shown below:

Microsoft Excel 16.0 Sensitivity Report Worksheet: [Book1-3-2.xlsx]Sheet1 Report Created: 11/22/2021 9:58:57 AM

Trang 17

Trang 18

Variable Cells

Trang 19

Trang 21

Trang 22

Final Shadow Constraint

$C$21 Wage per project = 90000 0 90000

$D$21 Wage per project = 64800 0 80000

$E$21 Wage per project = 110000 0 110000

$F$21 Wage per project = 90000 5.55112E-17 90000

$G$21 Wage per project = 65000 4.16334E-17 65000

$H$21 Wage per project = 85000 0 85000

$I$21 Wage per project = 50000 0 50000

$J$21 Wage per project = 42400 0 55000

Trang 23

Trang 24

e If consultant A and E change their hourly wage from $155 to $200 (A) and from $270 to

$200, will the solution change?

If consultant A and E change their hourly wage from $155 to $200 (A) and from $270 to $200, the solution will change accordingly,as the new total rate is 13195, and the total profit is

502092.59

f By exprerience, consultant B and E is getting better at their ability, which mean their

capacity for every project now minimum start from 3 instead of 1 or 2, will the shadow

Trang 25

Tiêu đề	Formulate A Linear Programming Model And Write Down The Mathematical Model For This Problem
Tác giả	Nguyễn Phương Uyên
Người hướng dẫn	Nguyễn Thị Hồng Thu
Trường học	Đại học UEH
Chuyên ngành	Khoa học quản trị
Thể loại	tiểu luận
Năm xuất bản	2021
Thành phố	TP Hồ Chí Minh

Định dạng
Số trang	50
Dung lượng	760,11 KB