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algol13
2 years ago
10

Break-Even Sales Under Present and Proposed Conditions

Business
1 answer:
solong [7]2 years ago
6 0

Answer:

<h3>Portmann Company</h3>

1. Total variable costs = $89,000,000

Total fixed costs = $40,600,000

2. a Unit variable cost = $89

b. Unit contribution margin = $100

3. Break-even sales (units) = Fixed cost/Contribution margin per unit

= $40,600,000/$100

= 406,000 units

4. Break-even sales (units) = Fixed cost/Contribution margin per unit

= $45,100,000/$100

= 451,000 units

5. Break-even sales (units) to achieve target profit = (Fixed cost + Target Profit)/Contribution margin per unit

= ($45,100,000 + $59,400,000)/$100

= 1,045,000 units

6. Maximum operating income possible with the expanded plant is:

= $61,900,000

7. Operating income if the proposal is accepted and sales remain at the current level is:

= $54,900,000

Explanation:

a) Data and Calculations:

Sales volume during current year = 1,000,000

Sales price per unit during current year = $189

Income statement is as follows:

Sales                                $189,000,000

Cost of goods sold           (101,000,000)

Gross profit                      $88,000,000

Expenses:

Selling expenses             $16,000,000

Administrative expenses  12,600,000

Total expenses                (28,600,000)

Operating income          $59,400,000

                                      Variable    Fixed

Cost of goods sold           70%        30%

Selling expenses              75%        25%

Administrative expenses 50%        50%

Total variable costs for the current year:

                                      Variable  

Cost of goods sold           70% * $101,000,000 = $70,700,000

Selling expenses              75% * $16,000,000 =     12,000,000

Administrative expenses 50% * $12,600,000 =      6,300,000

Total variable costs = $89,000,000

Variable unit cost = $89 ($89,000,000/1,000,000)

Contribution per unit = $100 ($189 - $89)

Total fixed costs for the current year:

                                          Fixed

Cost of goods sold             30% * $101,000,000 = $30,300,000

Selling expenses                25% * $16,000,000  =      4,000,000

Administrative expenses   50% * $12,600,000 =       6,300,000

Total fixed costs =  $40,600,000

Projected sales for the next year = $202,230,000 ($189,000,000 + $13,230,000)

Percentage Increase in sales for the next year = $13,250,000/$189,000,000 * 100 = 7%

Fixed costs caused by expansion = $4,500,000

Total fixed costs = $45,100,000 ($40,600,000 + $4,500,000)

Variable costs = $95,230,000 ($89,000,000 * 1.07)

Contribution margin:

Sales                                $202,230,000

Variable costs                      95,230,000

Contribution margin        $107,000,000

Expenses:

Fixed costs                          45,100,000

Operating income            $61,900,000

Sales volume = 1,070,000 units (1,000,000 * 1.07)

Contribution per unit = $107,000,000/1,070,000 = $100

Sales at current level:

Sales                                $189,000,000

Variable costs                     89,000,000

Contribution                    $100,000,000

Fixed costs                          45,100,000  

Operating income           $54,900,000

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We solve for the rate which makes the coupon and maturity 104

with excel or a financial calculator

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C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

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time 60 (30 years x 2 payment per year)

rate <em>0.052787474</em>

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Maturity   100.00

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