Reference no: EM132534030

Darby Company, operating at full capacity, sold 76,950 units at a price of $48 per unit during the current year. Its income statement for the current year is as follows:

Sales $3,693,600

Cost of goods sold 1,824,000

Gross profit $1,869,600

Expenses: Selling expenses$912,000

Administrative expenses 912,000

Total expenses 1,824,000

Income from operations $45,600

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

Variable Fixed Cost of goods sold variable70%

fixed30%

Selling expenses variable 75%

fixed 25%

Administrative expenses variable 50%

fixed 50%

Management is considering a plant expansion program that will permit an increase of $288,000 in yearly sales. The expansion will increase fixed costs by $28,800, but will not affect the relationship between sales and variable costs.

Required:

Question 1. Determine the total variable costs and the total fixed costs for the current year. Enter the final answers rounded to the nearest dollar.

Total variable costs$Total fixed costs a) variable 2,416,800 b) fixed 1,231200

Question 2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Enter the final answers rounded to two decimal places.

Unit variable cost$Unit contribution margin a) variable 31.41 b) fixed 16.59

Question 3. Compute the break-even sales (units) for the current year. Enter the final answers rounded to the nearest whole number. 74213

units

Question 4. Compute the break-even sales (units) under the proposed program for the following year. Enter the final answers rounded to the nearest whole number.

units 75949

Question 5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $45,600 of income from operations that was earned in the current year. Enter the final answers rounded to the nearest whole number.

units

Question 6. Determine the maximum income from operations possible with the expanded plant. Enter the final answer rounded to the nearest dollar.

Question 7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year? Enter the final answer rounded to the nearest dollar.