Darby Company, operating at full capacity, sold 154,100 units at a price of $87 per unit during the current year. Its income statement is as follows: Sales $13,406,700 Cost of goods sold 4,756,000 Gross profit $8,650,700 Expenses: Selling expenses $2,378,000 Administrative expenses 1,421,000 Total expenses 3,799,000 Income from operations $4,851,700 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 $1,044,000 in yearly sales. The expansion will increase fixed costs by $139,200, 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 $fill in the blank 1 Total fixed costs $fill in the blank 2 2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Unit variable cost $fill in the blank 3 Unit contribution margin $fill in the blank 4 3. Compute the break-even sales (units) for the current year. fill in the blank 5 units
Break-Even Sales Under Present and Proposed Conditions
Darby Company, operating at full capacity, sold 154,100 units at a price of $87 per unit during the current year. Its income statement is as follows:
| Sales | $13,406,700 | ||
| Cost of goods sold | 4,756,000 | ||
| Gross profit | $8,650,700 | ||
| Expenses: | |||
| Selling expenses | $2,378,000 | ||
| Administrative expenses | 1,421,000 | ||
| Total expenses | 3,799,000 | ||
| Income from operations | $4,851,700 |
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 $1,044,000 in yearly sales. The expansion will increase fixed costs by $139,200, 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 | $fill in the blank 1 |
| Total fixed costs | $fill in the blank 2 |
2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
| Unit variable cost | $fill in the blank 3 |
| Unit contribution margin | $fill in the blank 4 |
3. Compute the break-even sales (units) for the current year.
fill in the blank 5 units
4. Compute the break-even sales (units) under the proposed program for the following year.
fill in the blank 6 units
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $4,851,700 of income from operations that was earned in the current year.
fill in the blank 7 units
6. Determine the maximum income from operations possible with the expanded plant.
$fill in the blank 8
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?
$fill in the blank 9
8. Based on the data given, would you recommend accepting the proposal?
- In favor of the proposal because of the reduction in break-even point.
- In favor of the proposal because of the possibility of increasing income from operations.
- In favor of the proposal because of the increase in break-even point.
- Reject the proposal because if future sales remain at the current level, the income from operations will increase.
- Reject the proposal because the sales necessary to maintain the current income from operations would be below the current year sales.
Choose the correct answer.
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