Question

In: Accounting

Shum Manufacturing, which uses the high-low method, makes a product called Kwan. The company incurs three...

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.

Solutions

Expert Solution

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

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