In: Accounting
Shum Manufacturing, which uses the high-low method, makes a
product called Kwan. The company incurs three different cost types
(A, B, and C) and has a relevant range of operation between 2,000
units and 15,000 units per month. Per-unit costs at two different
activity levels for each cost type are presented below.
Type A | Type B | Type C | Total | |||||||||||||||
4,000 | units | $ | 5 | $ | 8 | $ | 7 | $ | 20 | |||||||||
6,000 | units | 5 | 7 | 5 | 17 | |||||||||||||
The cost formula that expresses the behavior of Shum’s total cost
is:
Multiple Choice
Y = $0 + $20X.
Y = $20,000 + $17X.
Y = $48,000 + $8X.
Y = $32,000 + $5X.
Y = $56,000 + $6X.
Answer:
Y = $36,000 + $11X |
Correct option is not mentioned in the question. |
Cost formula that expresses the behavior of Shum’s total cost = $36,000 + $11X |
Explain:-
Type A | Type B | Type C | Total | |
Cost per unit for 4000 units | $ 5 | $ 8 | $ 7 | $ 20 |
Multiply: Units produced | 4,000 | 4,000 | 4,000 | 4,000 |
Total cost for 4000 units | $ 20,000 | $ 32,000 | $ 28,000 | $ 80,000 |
Cost per unit for 6000 units | $ 5 | $ 7 | $ 5 | $ 17 |
Multiply: Units produced | 6,000 | 6,000 | 6,000 | 6,000 |
Total cost for 6000 units | $ 30,000 | $ 42,000 | $ 30,000 | $ 102,000 |
Total cost for 6000 units | $ 30,000 | $ 42,000 | $ 30,000 | $ 102,000 |
Less: Total cost for 4000 units | $ 20,000 | $ 32,000 | $ 28,000 | $ 80,000 |
Difference in cost | $ 10,000 | $ 10,000 | $ 2,000 | $ 22,000 |
Divided by: Difference in units (6000-4000) | 2,000 | 2,000 | 2,000 | 2,000 |
Variable cost per unit | $ 5 | $ 5 | $ 1 | $ 11 |
Variable cost per unit | $ 5 | $ 5 | $ 1 | $ 11 |
Multiply: Units produced at high level | 6,000 | 6,000 | 6,000 | 6,000 |
Total variable cost | $ 30,000 | $ 30,000 | $ 6,000 | $ 66,000 |
Total cost for 6000 units | $ 30,000 | $ 42,000 | $ 30,000 | $ 102,000 |
Total variable cost | $ 30,000 | $ 30,000 | $ 6,000 | $ 66,000 |
Fixed cost | $ - | $ 12,000 | $ 24,000 | $ 36,000 |