Question
Portmann Company, operating at full capacity, sold 1,000,000 units at a price of $189 per unit during the current year. Its income statement is as
Portmann Company, operating at full capacity, sold 1,000,000 units at a price of $189 per unit during the current year. Its income statement is as follows:
Sales $189,000,000 Cost of goods sold (100,000,000) Gross profit $89,000,000 Expenses: Selling expenses $15,000,000 Administrative expenses 15,500,000 Total expenses (30,500,000) Operating income $58,500,000 The division of costs between variable and fixed is as follows:
Variable Fixed Cost of goods sold 70% 30% Selling expenses 75% 25% Administrative expenses 50% 50% Management is considering a plant expansion program for the following year that will permit an increase of $11,340,000 in yearly sales. The expansion will increase fixed costs by $5,000,000 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 $89,000,000
Total fixed costs $41,500,000
2.Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
Unit variable cost $89
Unit contribution margin $100
3.Compute the break-even sales (units) for the current year.
415,000 units
4.Compute the break-even sales (units) under the proposed program for the following year.
465,000 units
5.Determine the amount of sales (units) that would be necessary under the proposed program to realize the $58,500,000 of operating income that was earned in the current year.
1,050,000 units
6.Determine the maximum operating income possible with the expanded plant.
$
I can't figure out how to find the answer to #6. I have tried almost everything and I'm not understanding what I'm doing wrong. Please explain to me how to do it!
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