Relevant costs are those costs that differ across alternatives.. Past costs can be used as information to help predict future costs.. If a scarce resource is used in producing the two
Trang 1CHAPTER 12 TACTICAL DECISION MAKING
QUESTIONS FOR WRITING AND DISCUSSION
1 A tactical decision is short-run in nature; it
involves choosing among alternatives with
an immediate or limited end in view A
stra-tegic decision involves selecting strategies
that yield a long-term competitive
advan-tage
2 Depreciation is an allocation of a sunk cost
This cost is a past cost and will never differ
across alternatives
3 The salary of a supervisor in an accept or
reject decision is an example of an irrelevant
future cost
4 If one alternative is to be judged superior to
another alternative on the basis of cash-flow
comparisons, then cash flows must be
ex-pressed as an annual amount (or periodic
amount); otherwise, consideration must be
given to the time value of the nonperiodic
cash flows
5 Disagree Qualitative factors also have an
important bearing on the decision and may,
at times, overrule the quantitative evidence
from a relevant costing analysis
6 The purchase of equipment needed to
pro-duce a special order is an example of a fixed
cost that is relevant
7 Relevant costs are those costs that differ
across alternatives Differential costs are the
differences between the costs of two
alter-natives
8 Depreciation is a relevant cost whenever it is
a future cost that differs across alternatives
Thus, it must involve a capital asset not yet
acquired
9 Past costs can be used as information to
help predict future costs
10 Yes Suppose, for example, that sufficient
11 Complementary effects may make it more
expensive to drop a product, as the dropped product has a negative impact on other products
12 A manager can identify alternatives by using
his or her own knowledge and experience and by obtaining input from others who are familiar with the problem
13 No Joint costs are irrelevant They occur
regardless of whether the product is sold at the split-off point or processed further
14 Yes The incremental revenue is $1,400,
and the incremental cost is only $1,000, creating a net benefit of $400
15 Regardless of how many units are
pro-duced, fixed costs remain the same Thus, fixed costs do not change as product mix changes
16 No If a scarce resource is used in producing
the two products, then the product providing the greatest contribution per unit of scarce resource should be selected For more than one scarce resource, linear programming may be used to select the optimal mix
17 If a firm is operating below capacity, then a
price that is above variable costs will crease profits A firm may sell a product be- low cost as a loss leader, hoping that many customers will purchase additional items with greater contribution margins Grocery stores often use this strategy
in-18 Different prices can be quoted to customers
in markets not normally served, to peting customers, and in a competitive bid- ding setting
noncom-19 Linear programming is used to select the
Trang 2cerned with a scarce resource A constraint
set is the collection of all constraints for a
given problem
21 A feasible solution is a solution to a linear
programming problem that satisfies the
problem’s constraints The feasible set of
solutions is the collection of all feasible
solu-tions
22 To solve a linear programming problem
graphically, use the following four steps: (1) graph each constraint, (2) identify the feasi- ble set of solutions, (3) identify all corner points in the feasible set, and (4) select the corner point that yields the optimal value for the objective function Typically, when a li- near programming problem has more than two or three products, the simplex method must be used
Trang 3EXERCISES 12–1
The correct order is: D, E, B, F, C, A
12–2
Situation Flexible Resource Committed Resource
Short Term
Committed Resource Multiple Periods
Telephone/internet fees
Chesbrough should make the component in house because operating income
Elec-tronics
Trang 42 Chesbrough should purchase the component from Berham Electronics
Trang 512–6
1 If Product C is dropped, profit will decrease by $15,000 since the avoidable
direct fixed costs are only $55,000 ($80,000 – $25,000) Depreciation is not
re-levant
2 A new income statement, assuming that C is dropped and demand for B
de-creases by 10 percent, is given below (amounts are in thousands)
Yes, Thomson should accept the special order, because operating income
will increase by $68,000 [($24 − $22) × 34,000]
Trang 6Yes, the special order should be accepted because income will increase by
No, Melton should not accept the special order, because operating income will decrease by $8,750 [($19.25 − $18) × 7,000]
Trang 7The company should process Delta further, because operating profit would
increase by $9,800 if it were processed further (Note: Joint costs are
irrele-vant to this decision, because the company will incur them whether or not
Delta is processed further.)
Norton should make the 2,000 units of Juno, then make Hera
16,000 pounds – 4,000 pounds = 12,000 pounds for Hera
Hera production = 12,000/5 = 2,400 units
Product mix is 2,000 Juno and 2,400 Hera
Total contribution margin = (2,000 × $30) + (2,400 × $60)
Trang 8The company should sell only the deluxe unit with contribution margin per
machine hour of $33.33 Sealing can produce 20,000 (15,000/0.75) deluxe units
per year These 20,000 units, multiplied by the $25 contribution margin per
unit, would yield total contribution margin of $500,000
2 Produce and sell 12,000 deluxe units, which would use 9,000 machine hours
Then, produce and sell 50,000 basic units, which would use 5,000 machine
hours Then produce and sell 2,000 standard units, which would use the
re-maining 1,000 machine hours
Total contribution margin = ($25 × 12,000) + ($3 × 50,000) + ($10 × 2,000)
Trang 9Model M-3 has the higher contribution margin per hour of drilling machine
use, so all 12,000 hours should be spent producing it If that is done, 4,000
(12,000 hours/3 hours per unit) units of Model M-3 should be produced Zero
units of Model A-4 should be produced
2 If only 2,500 units of Model M-3 can be sold, then 2,500 units should be
pro-duced This will take 7,500 hours of drilling machine time The remaining
4,500 hours should be spent producing 750 (4,500/6) units of Model A-4
Trang 1012–15
Model 33-P has the higher contribution margin per hour of lathe use, so all
12,000 hours should be spent producing it If that is done, 6,000 (12,000
hours/2 hours per unit) units of Model 33-P should be produced Zero units of
Model 14-D should be produced
2 If only 5,000 units of Model 33-P can be sold, then 5,000 units should be
pro-duced This will take 10,000 hours of lathe time The remaining 2,000 hours
should be spent producing 500 (2,000/4) units of Model 14-D
12–16
1 Let X = Number of Model 14-D produced
Let Y = Number of Model 33-P produced
Maximize Z = $12X + $10Y (objective function)
Trang 11Solution: The corner points are points A, B, C, D, and E The point of
intersec-tion of the linear constraints is obtained by solving the two equaintersec-tions
Trang 12Optimal solution is Point C, where X = 500 units and Y = 5,000 units
3 At the optimal level, the contribution margin is $56,000
12–17
1 Let X = Number of Product A produced
Let Y = Number of Product B produced
Maximize Z = $30X + $60Y (objective function)
2X + 5Y ≤ 6,000 (direct material constraint)
3X + 2Y ≤ 6,000 (direct labor constraint)
X ≤ 1,000
Y ≤ 2,000
Trang 13Solution: The corner points are the origin, the points where X = 0, Y = 0, and
where two linear constraints intersect The point of intersection of the two near constraints is obtained by solving the two equations simultaneously
Optimal solution: X = 1,000 units and Y = 800 units
3 At the optimal level, the contribution margin is $78,000
C
D
Trang 14Note: Heath should consider the qualitative factors If he restored the
Silvera-do, how much longer would it last? What about increased license fees and surance on the newer car? Could he remove the stereo and put it in the Dodge Ram without decreasing the Silverado’s resale value by much?
Sherwood should purchase the part
2 Maximum price = $668,000/40,000 = $16.70 per unit
3 Income would increase by $28,000 ($668,000 – $640,000)
Trang 15Sherwood should continue manufacturing the part
2 Maximum price = $580,000/40,000 = $14.50 per unit
3 Income would decrease by $60,000 ($640,000 – $580,000)
Trang 16PROBLEMS 12–21
Steps in Austin’s decision:
Step 1: Define the problem The problem is whether to continue studying at his
present university, or to study at a university with a nationally nized engineering program
recog-Step 2: Identify the alternatives Events A and B (Students may want to include
event I—possible study for a graduate degree However, future events indicate that Austin still defined his problem as in Step 1 above.)
Step 3: Identify costs and benefits associated with each feasible alternative
Events C, E, F, and I (Students may also list E and F in Step 5—they are included here because they may help Austin estimate future income benefits.)
Step 4: Total relevant costs and benefits for each feasible alternative No
specif-ic event is listed for this step, although we can intuit that it was done, and that three schools were selected as feasible since event J mentions that two of three applications met with success
Step 5: Assess qualitative factors Events D, E, F, G, and H
Step 6: Make the decision Event J is certainly relevant to this (What did Austin
ultimately decide? He decided that a qualitative factor, his possible ture with his long-time girl friend was most important and stayed at his current school After graduation, he was hired by a major aeronautical engineering firm By the way, he and his girl friend broke up shortly af- ter his decision to stay was made )
Trang 18Primack should process rhinime further
2 $16,221/600 = $27.035 additional income per pound
Trang 19System B should be dropped
Replacing B with C is better than keeping B, but not as good as dropping B
without replacement with C
Trang 202 Pat should accept the $2 price This price will increase the cost of the
bene-fit of $16,000 ($18,400 – $2,400)
8,000), an increase of $7,200 (= 2 × 8,000 × 0.45) over the original offer This
still leaves an increase in profits of $11,200 ($18,400 – $7,200) (See the
an-swer to Requirement 1.)
Trang 21a Based on sales of 41,000 units
Let X = Units sold
Direct fixed selling and admin: 0.7 × $997,500 = $698,250
Direct fixed overhead: $20 × 41,000 = $820,000
Total direct fixed expenses = $698,250 + $820,000 = $1,518,250
The company should keep the division
Trang 2212–27
1 Napkins: CM/machine hour = ($2.50 – $1.50)/1 = $1.00
Tissues: CM/machine hour = ($3.00 – $2.25)/0.5 = $1.50
Tissues provide the greatest contribution per machine hour, so the company should produce 400,000 packages of tissues (200,000 machine hours times 2 packages per hour) and zero napkins
a Z = $1.00X + $0.75Y (objective function)
X + 0.5Y ≤ 200,000 (machine constraint)
X ≤ 150,000 (demand constraint)
Y ≤ 300,000 (demand constraint)
X ≥ 0
Y ≥ 0
Trang 24b 1 × 500; 1 × 500; 2 × 500 e 2 × 1,000; 2 × 1,000; 2 × 1,000
The demand can be met in all departments except for Department 3
Produc-tion requires 3,500 labor hours in Department 3, but only 2,750 hours are
available
Trang 25Direct labor hours needed (Dept 3): 2 × 1,000 = 2,000
Production should be equal to demand for Product 403 because it has the highest contribution margin per unit of scarce resource After meeting de- mand, any additional labor hours in Department 3 should be used to produce Product 401 (2,750 – 2,000 = 750; 750/3 = 250 units of 401)
Contribution to profits:
3 Let X = Number of Product 401 produced
Let W = Number of Product 402 produced = 400 units
Let Y = Number of Product 403 produced
Max Z = $93X + $70Y + $50(400) (objective function)
Trang 27Note: The $38,000 of direct fixed expenses is the same across all alternatives
The most favorable alternative is to drop B and make the subassembly
2 Analysis with complementary effect:
a 0.06 × $150,000
b 0.94 × 2,000 × $7.00
is manufactured, the other variable costs (those other than the cost of the
component) will decrease proportionately
number of components will be needed
The correct decision now is to keep B and buy the component
Trang 2812–29 Concluded
Trang 2912–30
1 To maximize the company’s profitability, Sportway should purchase 9,000
tackle boxes from Maple Products, manufacture 17,500 skateboards, and
manufacture 1,000 tackle boxes This combination of purchased and
manu-factured goods maximizes the contribution per direct labor hour, as
a Variable overhead per unit
Tackle boxes:
Skateboards:
b $6 of selling and administrative costs are fixed
Trang 3012–30 Concluded
Optimal Use of Sportway’s Available Direct Labor
2 Some qualitative factors to be considered include quality and reliability of
vendor, quality of market data for skateboards, and problems in switching
from tackle boxes to skateboards in the Plastics Department
Trang 31MANAGERIAL DECISION CASES 12–31
1 Pamela should not have told Roger about the deliberations concerning the Power Department She is obligated by Standard II-1 to “keep information confidential except when disclosure is authorized or legally required.” She had been explicitly told to keep the details quiet but deliberately informed the head of the unit affected by the potential decision By revealing the informa- tion, Pamela also initiated an activity that would prejudice her ability to carry out her duties ethically (III-2)
2 The romantic relationship between Pamela and Roger sets up a conflict of terest for this particular decision, and Pamela should have withdrawn from any active role in it However, she should definitely provide the information she currently has about the cost of eliminating the Power Department This is required by standard IV-2, which states that “all relevant information that could reasonably be expected to influence an intended user’s understanding” should be disclosed Moreover, she has the obligation to communicate infor- mation fairly and objectively (IV-1) These ethical requirements, however, do not in any way prevent Pamela from discussing the qualitative effects of eli- minating the Power Department The effects on workers, community relations, reliability of external service, and any ethical commitments the company may have to its workers should all enter into the decision If I were Pamela, I would communicate the short-term quantitative effects and express my concerns about the qualitative factors I might also project what the costs of operating internally would be for the next five years and compare that with estimates of the costs of external acquisition
Trang 32in-12–32
MEMO
SUBJECT: Decentralization of Continuing Education
In recommending whether to centralize or decentralize continuing education (CE),
I have first focused on the economic implications The income statements, ing a favorable trend for CE, are misleading, at least in terms of their implications for centralization Tuition revenues will be present whether we centralize or de- centralize and, therefore, are not relevant to the decision Department heads are already heavily involved in scheduling and staffing off-campus and evening courses, and individual faculty are largely responsible for generating our noncre- dit offerings Thus, it would be difficult to argue that decentralizing CE would have any adverse impact on the level of tuition revenues
show-In a similar vein, one can argue that the operating costs for evening and dit courses and the direct costs for off-campus offerings are also irrelevant These costs, which consist of instructional wages, rental of facilities, and sup- plies, will be incurred regardless of whether CE is centralized or decentralized This leaves two categories of costs, indirect costs and administration, which af- fect the decision These categories include advertising, secretaries, assistants, and other support personnel If we choose to decentralize, all of these costs, with the exception of the director’s salary and advertising, can be avoided Further- more, because the director will be teaching in her department, some of her salary
noncre-is avoidable as well ($20,000) The total avoidable costs are outlined as follows