ACG2071 Managerial Accounting
Chapters 20-23 Incremental Analysis Decisions - Sample Problems
Answers appear in red.
Problem 1 - Coleman Company owns a machine that produces a component for the products the company makes and sells. The company uses 1,800 units of this component in production each year. The costs of making one unit of this component are
Direct material | $ 7 |
Variable manufacturing overhead | 6 |
Direct labor | 4 |
Fixed manufacturing overhead | 5 |
The fixed overhead costs are unavoidable, and the unit cost is based on the present annual usage of 1,800 units of the component. An outside supplier has offered to sell Coleman this component for $18 per unit and can supply all the units it needs.
A. If Coleman buys the component from the outside supplier instead of making it, how much will net income change? Should Coleman make or buy the component? Use the incremental approach to justify your answer.
Since net income decreases, Coleman should continue making the component.
Variable cost = $7 + $6 + $4 = $17
Incremental cost savings from not making component (1,800 x $17) | $30,600 |
Incremental cost of buying component (1,800 x $18) | (32,400) |
Incremental decrease in net income due to buying component | $(1,800) |
B. Suppose Coleman could rent the machine to another company for $5,000 per year. How would your response change to part A? Use the incremental approach to justify your answer.
Since net income increases, the company should choose to buy the components.
Incremental cost savings from not making component (1,800 x $17) | $30,600 | |
Incremental Annual rent from machine | 5,000 | |
Incremental Cost of buying component (1,800 x $18) | (32,400) | |
Incremental Increase in net income due to buying component | $3,200 |
Problem 2 - Tenchavez Company makes and sells 12,000 pairs of running shoes each year. The cost of making one pair of these shoes is
Direct material | $ 11 |
Variable manufacturing overhead | 5 |
Direct labor | 4 |
Fixed manufacturing overhead | 7 |
The fixed overhead costs are unavoidable. Tenchavez allocates fixed overhead costs based on its annual capacity of 15,000 pairs it is able to make. An overseas company recently offered to buy 3,000 pairs of shoes at $21 per pair. Regular customers buy shoes from Tenchavez at $30 per pair.
How much is incremental income if Tenchavez accepts the special order? Should Tenchavez accept? Use the incremental approach to justify your answer.
Variable cost = $11 + $5 + $4 = $20 per unit
Tenchavez should accept.
Incremental revenue from special order (3,000 x $21) | $63,000 |
Incremental cost to fill special order (3,000 x $20) | (60,000) |
Incremental income from accepting special order | $ 3,000 |
Problem 3 - Brislin Company makes and sells two products, Olives and Popeyes. The income statement for the prior year, 2001, was as follows:
| Olives | Popeyes |
Sales | $16,000 | $24,000 |
Variable cost of goods sold | 6,000 | 10,000 |
Manufacturing contribution margin | $10,000 | $14,000 |
Fixed production | 5,000 | 7,000 |
Variable selling and administration | 2,000 | 5,000 |
Fixed selling and administration | 1,000 | 3,000 |
Net income | $2,000 | ($1,000) |
Brislin's fixed costs are unavoidable and are allocated to products on the basis of sales revenue. If Popeyes are dropped, sales of Olives are expected to increase by 40 percent next year.
A. Use the incremental approach to determine if Popeyes should be dropped.
Incremental revenue ($16,000* 40%) of Olives | $ 6,400 |
| Incremental revenue of Popeyes | (24,000) |
| Incremental cost savings of Popeyes CGS | +10,000 |
| Incremental cost savings of Popeyes S&A cost | +5,000 |
Incremental variable cost of Olives ($6,000*40%) | (2,400) |
| Incremental s&a cost of Olives ($2,000*40%) | (800) |
Incremental decrease in income if Popeyes discountinued | ($5,800) |
Problem 4 -
Monk Company manufactures widulators. Watson Company has approached Monk with a proposal to sell the company a component use in its widulators at a price of $12,000 for 4,000 units. Monk is currently making these components in its own factory. The following costs are associated annually with this part of the process when 4,000 units are produced:
Direct material | $4,000 |
Direct labor | 2,000 |
Manufacturing overhead (fixed & variable) |
6,800 |
Total | $12,800 |
All but $3,000 of the manufacturing overhead costs will continue if Monk discontinues making the components. Monk will be able to eliminate machine rental of $1,800 per year if the components are no longer manufactured.
A. How much are the incremental cost or savings if Monk outsources? Use the incremental approach to justify your answer.
Of the $6,800, $3,000 is avoidable, and $3,800 will continue. | ||
| ||
Incremental cost to buy 4,000 components |
($ 12,000) | |
Incremental manufacturing savings if bought: |
| |
Machine rental |
$ 1,800 |
|
Direct materials |
4,000 |
|
Direct labor |
2,000 |
|
Overhead – avoidable portion |
3,000 |
|
Total
Incremental
savings |
|
10,800 |
Incremental cost of buying components |
|
($1,200) |
B. What is the amount of avoidable costs if Monk buys rather than makes the components?
$10,800 – from part A above….the costs that can be avoided if the alternative course of action—buying—is taken.
C. Which costs/amounts from above are opportunity costs, if any?
$1,800......the rent savings are given up if the alternative action--buying--is undertaken. Note that the cost of the products--whether bought or made is still a 'cost' for the company.
D. Should Monk make or buy the components? Briefly justify your answer.
Monk should make the components. There is an additional cost of $1,200 if Monks buys the components. Increases in costs are bad choices in decision making because the cost must be passed on to the customer or absorbed as lower profits by the seller.
Problem 5 - Anheiser, Inc. has three divisions: Bud, Wise, and Er. Results of May, 2003 are presented below:
|
Bud |
Wise |
Er |
Total |
Units sold |
3,000 |
5,000 |
2,000 |
10,000 |
Revenue | $70,000 | $50,000 | $40,000 | $160,000 |
Less variable costs | 32,000 | 26,000 | 16,000 |
74,000 |
Less direct fixed costs | 14,000 | 19,000 | 12,000 |
45,000 |
Less allocated fixed costs |
6,000 |
10,000 |
4,000 |
20,000 |
Net income |
$18,000 |
($5,000) |
$ 8,000 |
$21,000 |
The variable costs are directly attributable to the products produced for the specific departments. All of the allocated costs will continue even if a division is discontinued. Anheiser allocates indirect fixed costs based on the number of units to be sold. Since the Wise division has a net loss, Anheiser feels that it should be discontinued. Anheiser feels if the division is closed, that sales at the Bud division will increase by 20%, and that sales at the Er division will stay the same.
A. Prepare an incremental analysis showing the effect of discontinuing the Wise division on the remaining divisions.
|
Bud |
Incremental revenue | |
| 20%*$70,000 - $50,000 | ($36,000) |
Incremental variable costs |
|
| 20%*32,000 - $26,000 | 19,600 |
Incremental direct fixed costs |
19,000 |
Increase increase in profit if discontinued | $2,600 |
B. Should Anheiser close the Wise division? Briefly indicate why or why not.
Yes. The profit increases by $2,600 when the division is eliminated. Direct fixed costs and variable costs for the Wise division were relatively high compared to those for the Bud and Er divisions. The increase in sales by 20% of the Bud division was enough to offset the loss of the Wise division.
Problem 6 -
Gordon Company sells two items, corn and broccoli. The company is considering dropping corn. It is expected that sales of broccoli will increase by 40% as a result. Dropping corn will allow the company to cancel its monthly rental of its corn shucker costing $100 a month. The other equipment will be used for additional production of broccoli. One employee earning $200 can be terminated if corn production is dropped. Gordon’s other allocated costs are unavoidable. The company rents all of its equipment. A condensed, budgeted monthly income statement with both products is below:
| Total | Corn | Broccoli |
Sales | $20,000 | $8,000 | $12,000 |
Food materials | 4,500 | 2,000 | 2,500 |
Direct labor | 3,200 | 1,200 | 2,000 |
Equipment rental | 2,900 | 2,600 | 300 |
Other allocated overhead | 3,100 | 2,100 | 1,000 |
Operating income | $6,300 | $ 100 | $6,200 |
In good form, prepare an incremental analysis to determine the financial effect of dropping corn production.
Incremental change in revenue: |
| |
Increase in broccoli sales: $12,000 x 40% = | +$4,800 |
|
Decrease in corn sales | (8,000) |
|
Incremental decrease in revenue |
| ($3,200) |
Incremental change in variable costs: |
| |
Food materials: Increase in broccoli costs: $2,500 x 40% | (1,000) |
|
Decrease in corn costs | +2,000 |
|
Direct labor: Increase in broccoli labor: $2,000 x 40% | (800) |
|
Decrease in corn labor | +1,200 |
|
Incremental decrease in variable costs |
| +1,400 |
Equipment rental reduction - corn shucker |
| +100 |
Incremental decrease in profits if corn production is dropped |
| ($1,700) |
Problem 7 -
Parrino has three product lines in its retail stores: books, videos, and music. Results of the 4th quarter are presented below:
| Books | Music | Videos | Total |
Units sold | 1,000 | 2,000 | 2,000 | 5,000 |
Revenue | $22,000 | $40,000 | $23,000 | $85,000 |
Variable departmental costs | 15,000 | 22,000 | 12,000 | 49,000 |
Direct fixed costs | 1,000 | 3,000 | 2,000 | 6,000 |
Allocated fixed costs | 7,000 | 7,000 | 7,000 | 21,000 |
Net income | ($1,000) | $ 8,000 | $ 2,000 | $ 9,000 |
The allocated fixed costs are unavoidable. Demand of individual products are not affected by changes in other product lines. If Parrino discontinues the Books product line, what is the effect on profit? Use the incremental approach.
Incremental revenue | ($22,000) | |
Incremental costs: | ||
Variable costs savings | +15,000 | |
Direct fixed costs savings | +1,000 | |
Incremental drop in profits if discontinued | ($6,000) |
Problem 8 -
Temple, Inc. produces grandfather clocks and sells 100 per year.:
|
Unit Cost |
Direct materials |
$ 200 |
Direct labor |
240 |
Variable overhead |
160 |
Fixed overhead (40% avoidable) |
300 |
A. An outside supplier has offered to produce the clocks for Temple for $700.
Use the incremental approach.Relevant costs are the incremental costs of making one clock:
Incremental Cost to buy | ($70,000) | |
Incremental DM cost savings | +20,000 | |
Incremental DL cost savings | +24,000 | |
Incremental VOH cost savings | +16,000 | |
| Incremental FOH cost savings (40%*$300*100clocks) | +12,000 | |
| Incremental Net savings to buy per unit | +$2,000 |
Problem 9 -
Young Siding Co. produces computers, which sell for $400 each. A foreign distribution wants to order 1,000 units at $300 a unit. 70% of the fixed overhead is unavoidable. Production costs per unit are:Direct materials | $90 |
Direct labor | 120 |
Variable overhead | 50 |
Fixed overhead | 60 |
A. How much is the relevant cost of producing one more computer?
Relevant costs are incremental costs of making one unit.
$90 + $120 + $50 = $260
Note that fixed costs do not increase when one additional unit is produced.
B. What the effect on net income of accepting the special order? Use the incremental approach.
Incremental revenue = $1,000 x $300 = $300,000
Incremental costs = $1,000 x 260 = ($260,000)
In
crease of $40,000
Problem 10 -
Scott, Inc. has a capacity of producing 300,000 units a year and sells them at $28 a unit. At present Scott is selling 250,000 units. A foreign distributor has offered to purchase 40,000 units at $20 a unit. Variable selling costs will be reduced by 40%. The sales manager determined that incremental costs of accepting the order are $744,000. Should Scott accept the order? Use the incremental approach.Yes, incremental profit is $56,000.
Incremental Revenue = 40,000 x $20 = $800,000
Incremental costs = $744,000
Incremental profit = $800,000 - $744,000 = $56,000
Problem
11 - It costs Roy Company $14 of variable costs and $6 of allocated fixed costs to produce a toy truck that sells for $30. A buyer offers to purchase 3,000 units at $18 each. Roy has unused capacity. What will occur to profits is the offer is accepted and produced? Use the incremental approach.Incremental increase in revenue (3,000*$18) |
$54,000 |
| Incremental increase in costs (3,000*$14) | (42,000) |
| Incremental increase in profits to accept | $12,000 |
Problem 12 -
At the start of the year, West Coast Grocery Supply budgeted sales and variable costs for three product lines as shown below in the table. With this level of allocation, the Canned Goods line does not appear profitable.
| Meat | Dairy | Canned Goods | Total |
Sales | $15,000 | $1,500 | $20,000 | $36,500 |
Variable Costs |
10,000 |
1,000 |
18,000 |
29,000 |
Contribution Margin |
5,000 |
500 |
2,000 |
7,500 |
Fixed Costs |
1,644 |
164 |
2,192 |
4,000 |
Profit (Loss) | $ 3,356 | $ 336 | ($ 192) | $ 3,500 |
West Coast Grocery Supply is operating at capacity in terms of the existing warehouse and the current fleet of delivery trucks. If the Canned Goods line is dropped, $500 of fixed costs specifically associated with the Canned Goods line can be avoided. Additionally, sales of Meat and Dairy can be increased by 20% each.
A.
How much is the fixed cost savings related to canned goods? The amount of fixed costs that can be avoided = $500
B
. Using the cost allocation death spiral concept, indicate whether West Coast should drop its canned goods line. No, the company will lose more money if it drops canned goods.
Problem 13 -