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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 $187 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 $187 per unit during the current year. Its income statement is as follows: Sales Cost of goods sold Gross profit Expenses: Selling expenses Administrative expenses Total expenses Operating income Cost of goods sold Selling expenses $14,000,000 14,400,000 The division of costs between variable and fixed is as follows: Fixed 30% 25% $187,000,000 (99,000,000) $88,000,000 (28,400,000) $59,600,000 Variable 70% 75% Administrative expenses Management is considering a plant expansion program for the following year that will permit an increase of $11,220,000 in yearly sales. The expansion will increase fixed costs by $4,000,000 but will not affect the relationship between sales and variable costs. Required: units 50% units 1. Determine the total variable costs and the total fixed costs for the current year. Total variable costs $ Total fixed costs $ 50% 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. 5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $59,600,000 of operating income that was earned in the current year. 6. Determine the maximum operating income possible with the expanded plant.
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