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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Chapter1: Financial Statements And Business Decisions
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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 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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