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Break-Even Sales Under Present and Proposed Conditions Portmann Company, operating at full capacity, sold 1,000,000 units at a price of $186 per unit during the
Break-Even Sales Under Present and Proposed Conditions | ||||||||
Portmann Company, operating at full capacity, sold 1,000,000 units at a price of $186 per unit during the current year. Its income statement is as follows: | ||||||||
Sales | $186,000,000 | |||||||
Cost of goods sold | 100,000,000 | |||||||
Gross profit | $86,000,000 | |||||||
Expenses: | ||||||||
Selling expenses | $16,000,000 | |||||||
Administrative expenses | 8,000,000 | |||||||
Total expenses | 24,000,000 | |||||||
Operating income | $62,000,000 | |||||||
The division of costs betweenvariableandfixedis as follows: | ||||||||
Variable | Fixed | |||||||
Cost of goods sold | 70% | 70000000 | 30% | 30,000,000 | ||||
Selling expenses | 75% | $12,000,000 | 25% | $4,000,000 | ||||
Administrative expenses | 50% | 4000000 | 50% | 4,000,000 | ||||
86000000 | 38,000,000 | |||||||
Management is considering a plant expansion program for the following year that will permit an increase of $13,020,000 in yearly sales. The expansion will increase fixed costs by $4,500,000 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 | $ | 86000000 | ||||||
Total fixed costs | $ | 38,000,000 | ||||||
2. Determine (a) the unit variable cost and (b) theunit contribution marginfor the current year. | ||||||||
Unit variable cost | $ | 86 | ||||||
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 $62,000,000 of operating income that was earned in the current year. | ||||||||
units | ||||||||
6. Determine the maximum operating income possible with the expanded plant. | ||||||||
$ | ||||||||
7. If the proposal is accepted and sales remain at the current level, what will the operating income or loss be for the following year? | ||||||||
$ | INCOME | |||||||
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