Deliveries Are Us Company wants to determine a fuel surcharge to add to its customers' bills based on the number of miles driven to each area. It wants to separate the fixed and variable portion of the company's operating costs so it has a better idea of how distance affects these costs. The Company has the following data available.
Month |
Miles driven |
Total operating costs |
January |
16,200 |
$22,650 |
February |
17,000 |
$23,250 |
March |
20,000 |
$25,000 |
April |
16,500 |
$22,875 |
May |
17,400 |
$23,550 |
June |
15,000 |
$21,000 |
Using the
high−low
method, the fixed costs in a month are (Round any intermediary calculations to the nearest cent.)
A.
$4,000
B.
$46,000
C.
$16,000
D.
$9,000
Answer: D.$ 9,000
Working:
Miles driven | Total operating costs | |
16200 | $ 22,650 | |
17000 | $ 23,250 | |
20000 | $ 25,000 | |
16500 | $ 22,875 | |
17400 | $ 23,550 | |
15000 | $ 21,000 | |
High | 20000 | $ 25,000 |
Low | 15000 | $ 21,000 |
Change | 5000 | $ 4,000 |
Variable cost per unit = $ 4,000/5000 = $ 0.80
Total cost = Fixed cost + Variable cost |
$ 25,000 = Fixed cost + ($ 0.80*20000) |
Fixed cost = $ 25,000-$ 16,000 = $ 9,000 |
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