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Cost Behavior Mixed Cost analysis Butler Sales Company is a distributor that has

ID: 2425334 • Letter: C

Question

Cost Behavior Mixed Cost analysis

Butler Sales Company is a distributor that has an exclusive franchise to sell a particular product made by another company. Butler Sales Company's income statements for the last two years are given below:

THIS YEAR

LAST YEAR

Units sold

250,000

240,000

Sales Revenue

$1,000,000

$ 960,000

Less cost of goods sold

720,000

691,200

Gross margin

280,000

268,800

Less operating expenses

200,000

195,000

Net operating income

$ 80,000

$ 73,800

OPERATING EXPENSES ARE MIXED COSTS (mixture of fixed costs and variable costs) that vary with respect to the number of units sold. Note that cost of goods sold are all variable costs.

Required:

a. Estimate the company's variable operating expenses per unit, and its total fixed operating expenses per year. Use High — Low analysis(two data points)

b. Complete the mixed cost formula for Butler Sales.

c. What are total operating costs if Units Sold are 350,000.

d. Compute the company's contribution margin for THIS YEAR assuming cost of goods sold of $720,000 included $20,000 of fixed costs.

THIS YEAR

LAST YEAR

Units sold

250,000

240,000

Sales Revenue

$1,000,000

$ 960,000

Less cost of goods sold

720,000

691,200

Gross margin

280,000

268,800

Less operating expenses

200,000

195,000

Net operating income

$ 80,000

$ 73,800

Explanation / Answer

a. Variable operating cost per unit = (200000 - 195000)/(250000 - 240000)

= 0.50 per unit

Fixed operating cost per unit = 200000 - 250000 x 0.50

= 75000

b. Mixed cost formula = 75000 + 0.50X

Where X represents no. of units sold

c. Total Operating cost= 75000 + 0.50 x 350000

= 250000

d. Contribution = 1000000 - 700000 - 250000 x 0.50

= 175000