Question

Darby Company, operating at full capacity, sold 163,500 units at a price of $87 per unit during the current year. Its income statement is as follows:

Sales $14,224,500
Cost of goods sold 5,046,000
Gross profit $9,178,500
Expenses:
Selling expenses $2,523,000
Administrative expenses 1,508,000
Total expenses 4,031,000
Income from operations $5,147,500

The division of costs between variable and fixed is as follows:

Variable Fixed
Cost of goods sold 60% 40%
Selling expenses 50% 50%
Administrative expenses 30% 70%

Management is considering a plant expansion program for the following year that will permit an increase of $1,131,000 in yearly sales. The expansion will increase fixed costs by $150,800, but will not affect the relationship between sales and variable costs.

Required:
Determine the total variable costs and the total fixed costs for the current year.

Answer 1

Variable costs in current year:

= Variable Cost of goods sold + Variable Selling expense + Variable Admin expenses

= (5,046,000 * 60%) + (2,523,000 * 50%) + (1,508,000 * 30%)

= 3,027,600 + 1,261,500 + 452,400

= $4,741,500

Fixed costs:

= (Total cost of goods sold + Total selling expenses + Total admin expenses) - Variable expenses

= (5,046,000 + 2,523,000 + 1,508,000) - 4,741,500

= $4,335,500