Question
Break-Even Sales Under Present and Proposed Conditions Darby Company, operating at full capacity, sold 174,900 units at a price of $90 per unit during the
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Break-Even Sales Under Present and Proposed Conditions
Darby Company, operating at full capacity, sold 174,900 units at a price of $90 per unit during the current year. Its income statement is as follows:
Sales $15,741,000 Cost of goods sold 5,580,000 Gross profit $10,161,000 Expenses: Selling expenses $2,790,000 Administrative expenses 1,680,000 Total expenses 4,470,000 Income from operations $5,691,000 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 $1,440,000 in yearly sales. The expansion will increase fixed costs by $192,000, but will not affect the relationship between sales and variable costs.
Required:
1. Determine the total variable costs and the total fixed costs for the current year.
Total variable costs $ Total fixed costs $ 2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
Unit variable cost $ Unit contribution margin $ 3. Compute the break-even sales (units) for the current year. units
4. Compute the break-even sales (units) under the proposed program for the following year. units
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $5,691,000 of income from operations that was earned in the current year. units
6. Determine the maximum income from operations possible with the expanded plant. $
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? $ Income
2.
Contribution Margin and Contribution Margin Ratio
For a recent year, Wicker Company-owned restaurants had the following sales and expenses (in millions):
Sales | $34,600 |
Food and packaging | $10,406 |
Payroll | 8,700 |
Occupancy (rent, depreciation, etc.) | 9,454 |
General, selling, and administrative expenses | 5,000 |
$33,560 | |
Income from operations | $1,040 |
Assume that the variable costs consist of food and packaging, payroll, and 40% of the general, selling, and administrative expenses.
a. What is Wicker Company's contribution margin? Round to the nearest million. (Give answer in millions of dollars.) $ million
b. What is Wicker Company's contribution margin ratio? Round to one decimal place. %
c. How much would income from operations increase if same-store sales increased by $2,100 million for the coming year, with no change in the contribution margin ratio or fixed costs? Round your answer to the closest million. $ million
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