Solution 167 (12–18 min.)
Costs Incurred
Production in Units 2,000 4,000
Production Costs
a. Direct Materials $ 4,000 $ 8,000
b. Direct Labor 16,000 32,000
c. Utilities 1,000 1,700
d. Rent 3,000 3,000
e. Indirect Labor 4,200 8,400
f. Supervisory Salaries 1,500 1,500
g. Maintenance 900 1,600
h. Depreciation 2,500 2,500
a. Variable $4,000 ÷ 2,000 = $2.00 per unit; 4,000 × $2.00 = $8,000
b. Variable $16,000 ÷ 2,000 = $8.00 per unit; 4,000 × $8.00 = $32,000
c. Mixed $1,000 – $300 = $700; $700 ÷ 2,000 = $.35 per unit of variable costs;
4,000 × $.35 = $1,400 + $300 (fixed) = $1,700
d. Fixed $3,000
e. Variable $4,200 ÷ 2,000 = $2.10 per unit; 4,000 × $2.10 = $8,400
f. Fixed $1,500
g. Mixed $900 – $200 = $700 variable portion; $700 ÷ 2,000 = $.35
4,000 × $.35 = $1,400 + $200 (fixed portion) = $1,600
h. Fixed $2,500
Ex. 168
Bill Braddock is considering opening a Fast ‘n Clean Car Service Center. He estimates that the
following costs will be incurred during his first year of operations: Rent $9,200, Depreciation on
equipment $7,000, Wages $16,400, Motor oil $2.00 per quart. He estimates that each oil change
will require 5 quarts of oil. Oil filters will cost $3.00 each. He must also pay The Fast ‘n Clean
Corporation a franchise fee of $1.10 per oil change, since he will operate the business as a
franchise. In addition, utility costs are expected to behave in relation to the number of oil changes
as follows:
Number of Oil Changes Utility Costs
4,000 $ 6,000
6,000 $ 7,300
9,000 $ 9,600
12,000 $12,600
14,000 $15,000
Bill Braddock anticipates that he can provide the oil change service with a filter at $25 each.
Instructions
(a) Using the high-low method, determine variable costs per unit and total fixed costs.
(b) Determine the break-even point in number of oil changes and sales dollars.
(c) Without regard to your answers in parts (a) and (b), determine the oil changes required to
earn net income of $20,000, assuming fixed costs are $32,000 and the contribution margin
per unit is $8.