Question

Break-Even Sales Under Present and Proposed Conditions

Portmann Company, operating at full capacity, sold 1,000,000 units at a price of $188 per unit during the current year. Its income statement is as follows:

Sales

$188,000,000 
Cost of goods sold

(99,000,000)
Gross profit

$89,000,000 
Expenses:


Selling expenses$14,000,000

Administrative expenses16,400,000

Total expenses

(30,400,000)
Operating income

$58,600,000

The division of costs between variable and fixed is as follows:


VariableFixed
Cost of goods sold70%
30%
Selling expenses75%
25%
Administrative expenses50%
50%

Management is considering a plant expansion program for the following year that will permit an increase of $13,160,000 in yearly sales. The expansion will increase fixed costs by $3,000,000 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$
Total fixed costs$

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.
 units

5.  Determine the amount of sales (units) that would be necessary under the proposed program to realize the $58,600,000 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? 
$ 


I only need question number seven.

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