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: Line Item Description Amount Amount Sales $186,000,000 Cost of goods sold (99,000,000) Gross profit $87,000,000 Expenses: Selling expenses $14,000,000 Administrative expenses 12,400,000 Total expenses (26,400,000) Operating income $60,600,000 The division of costs between variable and fixed is as follows: Line Item Description 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 $9,300,000 in yearly sales. The expansion will increase fixed costs by $5,000,000 but will not affect the relationship between sales and variable costs. 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 $60,600,000 of operating income that was earned in the current year. 6. Determine the maximum operating income possible with the expanded plant.
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:
Line Item Description | Amount | Amount |
---|---|---|
Sales | $186,000,000 | |
Cost of goods sold | (99,000,000) | |
Gross profit | $87,000,000 | |
Expenses: | ||
Selling expenses | $14,000,000 | |
Administrative expenses | 12,400,000 | |
Total expenses | (26,400,000) | |
Operating income | $60,600,000 |
The division of costs between variable and fixed is as follows:
Line Item Description | 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 $9,300,000 in yearly sales. The expansion will increase fixed costs by $5,000,000 but will not affect the relationship between sales and variable costs.
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 $60,600,000 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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