Short-Run Decision Making; Relevant Costing and Inventory Management Management Accounting: The Cornerstone for Business Decisions Copyright ©2006 by South-Western,

Short-Run Decision Making; Relevant

Costing and Inventory Management

Management Accounting: The Cornerstone for

Business Decisions

Copyright ©2006 by South-Western, a division of Thomson Learning. All rights reserved.

Learning Objectives

1. Describe the short-run decision-making model and explain how cost behavior affects the information used to make decisions.

2. Apply relevant costing and decision-making concepts in a variety of business situations.

3. Choose the optimal product mix when faced with one constrained resource.

Learning Objectives

4. Explain the impact of cost on pricing decisions.

5. Discuss inventory management under the economic order quantity and JIT models.

Illustrate Make or Buy Decision

What are the steps of the decision model?

1. Recognize and define the problem.2. Identify alternatives as possible solutions to

the problem; eliminate alternatives that are clearly not feasible.

3. Identify the costs and benefits associated with each feasible alternative. Classify costs and benefits as relevant or irrelevant and eliminate irrelevant ones from consideration.

4. Total the relevant cost and benefits for each alternative.

5. Assess the qualitative factors.6. Select the alternative with greatest overall

benefit.

How to structure a make or buy problem.

Buttons Manufacturing needed to determine if it would be cheaper to make 12,000 units of a component in house or purchase them from an outside supplier for $4.80 each. Absorption-costing information for internal production includes the following :

Total Cost Unit CostDirect materials $12,000 $1.00Direct labor 24,000 2.00Variable overhead 10,200 0.85Fixed overhead 52,800 4.40 Total $89,000 $8.25Fixed overhead will continue whether the component

is produced internally or externally. No additional cost of purchasing will be incurred beyond the purchase price.

12-1

REQUIRED: 1. What are the alternatives for Buttons

Manufacturing?2. List the relevant cost(s) of the internal

production and external purchase.3. Which alternative is more cost effective and by

how much?4. Now assume that the fixed overhead includes

$12,000 of cost that can be avoided if the component is purchased externally. Which alternative is more cost effective, and by how much?

Calculation:1. There are two alternatives: make the component

in hours or purchase it externally.

How to structure a make or buy problem.12-1

2. Relevant costs of making the component in-house include direct materials, direct labor, and variable overhead. Relevant cost of purchasing the component externally include the purchase price.

Alternatives Differential

Make Buy Cost to MakeDirect materials $12,000 0 $12,000Direct labor $24,000 0 24,000Variable overhead 10,200 0 10,200Purchase price 0 $57,000 (57,000)

Total relevant costs$46,200$57,000 $(10,800)

3. It is cheaper to make the component in house. This alternative is better by $10,200.

How to structure a make or buy problem.12-1

4. Relevant costs of making the component in-house include direct materials, direct labor, and variable overhead. Relevant cost of purchasing the component externally include the purchase price.

Alternatives Differential

Make Buy Cost to MakeDirect materials $12,000 0 $12,000Direct labor $24,000 0 24,000Variable overhead 10,200 0 10,200Avoidable fixed cost 12,000 0 12,000Purchase price 0 $57,000 (57,000)

Total relevant costs$58,200 $57,000 $(1,200)Now, it is cheaper to purchase the component. This

alternative is better by $1,200.

How to structure a make or buy problem12-1

Illustrate Accept a Special Order Decision

How to structure a special-order problem.12-2

Leibnitz Company has an offer by a new customer to purchase 22,000 units of model BL7 for $8 each. The new customer is geographically separated from the company’s other customers, and existing sales would not be affected. Leibnitz normally produces 100,000 units of BL7 per year but only plans to produce and sell 75,000 in the coming year. The normal sales price is $14 per unit. Unit cost information is as follows:

Direct material $2.50Direct labor 2.30Variable overhead 1.50Fixed overhead 2.00 Total $8.30

Fixed overhead will not be affected whether or not the special order is accepted.

REQUIRED:1. What are the relevant costs and benefits of the

two alternatives (accept or reject the special order)?

2. By how much will operating income increase or decrease if the order is accepted?

Calculations:1. Relevant costs and benefits of accepting the

special order include the sales price of $8, direct materials, direct labor, and variable overhead. No relevant costs or benefits are attached to rejecting the order.


2. If the problem is done on the unit basis:

DifferentialBenefit to

Accept Reject AcceptPrice $8.00 $ 0 $8.00Direct materials (2.50) 0 (2.50)Direct labor (2.30) 0 (2.30)Variable overhead (1.50) 0 (1.50)

Increase in operating income $1.70 0 $1.70

Operating income will increase $37,400 ($1.70 x 22,000 units) if the special order is accepted.


How to structure a keep-or-drop product

line problem.The roofing tile line has a contribution margin of

$15,000 (sales of $160,000 less variable expense of $145,000). All variable costs are relevant. Relevant fixed costs associated with this line include $15,000 in advertising and $35,000 in supervision.

REQUIRED: 1. List the alternatives being considered.2. List the relevant benefits and costs for each

alternative.3. Which alternative is more cost efficient and by

how much?

Calculation:1. The two alternatives are to keep the roofing tile

line or drop it.

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2. The relevant benefits and costs of keeping the roofing tile line include sales of $160,000, variable costs of $145,000, advertising costs of $15,000 and supervision cost of $35,000.

None of the relevant cost of keeping the roofing tile line would occur under the drop alternative

3. DifferentialKeep DropAmount to Keep

Sales $160,000 $ 0 $160,000Less: Variable expenses145,000 0 145,000

Contribution margin $15,000 $ 0 $15,000Less: Advertising (15,000) 0 (15,000)Cost of supervision (35,000) 0 (35,000)Total relevant benefits (loss)$(35,000)$ 0 $(35,000)

The difference is $35,000 in favor of dropping the roofing tile line.

12-3

How to structure a keep-or-drop product

line problem.

Dropping the product line reduces sales of blocks by 8% and sales of bricks by 10%. All other information remains the same.

REQUIRED:1. If the roofing tile line is dropped, what

is the contribution margin for the block line? For the brick line?

2. Now which alternative (keep or drop the roofing tile line) is more cost effective, by how much?

12-4

How to structure a keep-or-drop product line problem

with complementary effects.

Calculation:Previous contribution margin of blocks was $250,000. A 8% decrease in sales implies a 8% decrease in variable costs, so contribution margin decreases by 8%.New contribution margin for blocks = $250,000 – ($250,000 x .08) = $250,000 - $20,000 = $230,000

The reasoning is the same for brick line, but the decrease is 10%.New contribution margin for bricks = $320,000 – ($320,000 x .10) = $320,000 - $32,000 = $288,000

12-4



2. DifferentialKeep DropAmount

to KeepContribution margin $585,000 $518,000$62,000Less: Advertising (30,000) (20,000)(15,000)Cost of supervision (112,000) (77,000)(35,000)Total $443,000 $ 421,000$12,000Notice that the contribution margin for the drop alternative

equals the new margins of the block and brick lines ($230,000 + $288,000). Also, the advertising and supervision remains relevant under all three alternatives.

Now the analysis favors keeping the roofing tile line. In fact, company income will be $ 12,000 higher if all three lines are kept as opposed to dropping the roofing tile line.

12-4



How to structure the sell-or-process further

decision.Appletime must decide to whether to sell Grade B

pears at the split-off or process further for pear sauce. The company normally sells Grade B pears in units of 120 5lb bags at a net price of $1.20 per bag. If the pears are processed further the result would be 500 cans of sauce with an additional cost of $0.19 per can. The buyer will pay $0.85 per can.

REQUIRED:1.What is the contribution margin from selling the

Grade B pears in the 5lb bag?2.What is the contribution to income from

processing the the Grade B pears in to pear sauce?

3.Should they sell the pears in bags or process them further?

12-5

Calculation:1. Revenue from selling pears in bags =

($1.20 x 120) = $1442. Revenue from further processing =

$0.85 x 500 = $425Further processing cost = $0.24 x 500 = $120Income from further process = $425 - $120 = $305

3. Appletime should process the Grade B pears into pear sauce. It will make $305 versus the $144 it would make by selling them in bags.

How to structure the sell-or-process further

decision.12-5

Illustrate Further Processing Decision

How to determine the optimal product mix with one constrained resource.

Jorgeson Company produces two types of gearboxes, X2 and Y3 with unit contribution margins of $50 and $20, respectively. Each gearbox must stamped by a special machine. The company owns four machines that provide 20,000 hours of machine time per year. Gearbox X2 requires 1 hour of machine time, while gearbox Y3 requires 0.25 hour of machine time. There are no other constraints.

REQUIRED:1. What is the contribution margin per hour of

machine time per gearbox?2. What is the optimal mix of gearboxes?3. What is the total contribution margin for the

optimal mix?

12-6

Calculation:1. Gearbox X2 Gearbox Y3Contribution margin per unit $25 $10Divide Hours of machine time 1 0.25Contribution margin $25 $40

per hour of machine time2. Since gearbox Y3 yields $40 of contribution

margin per hour of machine time, all machine time should be devoted to the production of gearbox Y3.Units Gearbox Y3 = 20,000 hours / 0.25 hours = 80,000 units. The optimal mix is 80,000 units of Y3 and 0 units of X2.

3. Total contribution margin of optimal mix = (80,000 units Gearbox Y3) x $10 = $800,000

How to determine the optimal product mix with one constrained resource.

12-6

Everything is exactly the same as Cornerstone 12-6 with the addition that only a maximum of 50,000 units of either gearbox can be sold.

REQUIRED:1. What is the contribution margin per hour of

machine time per gearbox?2. What is the optimal mix of gearboxes?3. What is the total contribution margin for the

optimal mix?Calculation:1. This is identical to Cornerstone 12-6 and

does not need to be repeated. The remainder of the calculations are on the

next slides.

How to determine the optimal product mix with one constrained resource

and a sales constraint.12-7

2. Since Gearbox Y3 yields $40 of contribution margin per hour of machine time, the first priority is to produce all of Gearbox Y3 that the market will take.

Machine time required to for maximum amount of Gearbox Y3 = 60,000 x 0.25 = 15,000

Remaining machine time for Gearbox X2 = 20,000 – 15,000 = 5,000 hours

Units of Gearbox X2 to be produced in 5,000 hours = 5,000 / 1 = 5,000 units

Now the optimal mix is 60,000 units of Gearbox Y3 and 5,000 of Gearbox X2. This will precisely exhaust the machine time available.





3. Total contribution margin of optimal mix

= [(60,000 units Gearbox Y3) x $10 + (5,000 units Gearbox X2) x $25] = $725,000

How to calculate price by applying a markup percentage to cost.

Elvin Company assembles and installs computers to customer specifications. Elvin had decided to price its jobs at the cost of direct materials and direct labor plus 20%. The job for a local middle school included the following costs:Direct materials $150,000Direct labor 10,000

REQUIRED: Calculate the price charged by Elvin Company to the middle school.

Calculation: Price = Cost + Markup Percentage x Cost

= $160,000 + ($160,000 x 20%)

= $160,000 + $32,000 = $192,000

12-8

How to calculate a target cost.

Digitime’s new pocket watch plus PDA has a target price $175. Management requires a 20% profit on new products.

REQUIRED:1. Calculate the amount of desired profits.2. Calculate the target cost.

Calculation:1. Desired profit = 0.20 x Target price

= 0.20 x $175 = $352. Target cost = Target price – Desired

profit = $175 - $35 = $140

12-9

Match Definitions

Ordering Costs

Carrying Costs

The costs of having inventory on hand

The cost of placing and receiving an order of inventory

EOQ

StockoutCosts

A mathematical model to determine how much inventory should be ordered and when

The costs of not have a product available when a customer demands it

How to calculate ordering cost, carrying cost, & total

inventory-related cost.Mall-o-Cars, Inc., sells a number of automotive brands

and provides service after the sale of those brands. Part Z9T is used in the repair of window switches ( the part is purchased from external suppliers). Each year 5,000 Z9T are used; they are currently purchased in lots of 500 units. It costs Mall-o-Cars $25 to place the order and the carrying cost is $2 per part per year.

REQUIRED:1. How many orders for Part Z9T are placed per year?2. What is the total ordering cost of Part Z9T per year?3. What is the total carrying cost of Part Z9T per year?4. What is the total cost of Mall-o-Car’s inventory for

Part Z9T per year?

12-10

Calculation:1.Number of orders = Annual number of units

used / Number of units in an order= 5,000 / 500 = 10 orders per year

2. Total order cost = Number of orders x Cost per order

= 10 orders x $25 = $2503. Total carrying cost = Average number of units in

inventory x Cost of carrying one unit in inventory= (500 / 2) x $2 = $500

4. Total inventory-related cost = Total ordering cost + Total

carrying cost= $250 + $500 = $750


inventory-related cost.12-10

How to calculate the EOQ, ordering cost, carrying cost, and total inventory-related

cost.Mall-o-Cars, Inc., sells a number of automotive

brands and provides service after the sale of those brands. Part Q6B is used in the repair of window trim. Each year 20,000 Q6B are used; they are currently purchased in lots of 2,000 units. It costs $40 to place the order and the carrying cost is $2.50 per part per year.

REQUIRED:1. What is the EOQ for Part Q6B?2. How many orders for Part Q6B does Mall-o-Cars

place per year?3. What is the total ordering cost of Part Q6B per

year?4. What is the total carrying cost of Part Q6B per

year?5. What is the total cost of Mall-o-Car’s inventory

for Part Q6B per year?

12-11

Calculation:1. EOQ = (2 x 20,000 x $40 / $2.50).5 = 800 units2. Number of orders = Annual number of units used /

Number of units in an order= 20,000 / 800 = 25 orders per year

3. Total order cost = Number of orders x Cost per order= 25 orders x $40 = $1,000

4. Total carrying cost = Average number of units in inventory x Cost of carrying one unit in inventory

= (800 / 2) x $2.50 = $1,0005. Total inventory-related cost = Total ordering cost +

Total carrying cost= $1,000 + $1,000 =

$2,000


inventory-related cost.12-11

Documents

Short-Run Decision Making; Relevant Costing and Inventory Management Management Accounting: The Cornerstone for Business Decisions Copyright ©2006 by South-Western,