Martinez Company has
decided to introduce a new product. The new product can be manufactured by
either a capital-intensive method or a labor-intensive method. The
manufacturing method will not affect the quality of the product. The estimated
manufacturing costs by the two methods are as follows.
Capital
Intensive Labor Intensive
Direct
Material $5
per unit $5.50 per unit
Direct
Labor $6 per unit $8.00 per unit
Variable
overhead $3 per unit $4.50 per unit
Fixed
Manufacturing Costs $2,508,000 $1,538,000
:.
Martinez’s market
research department has recommended an introductory unit sales price of $30.
The incremental selling expenses are estimated to be $502,000 annually plus $2
for each unit sold, regardless of manufacturing method.
Instructions
With the class
divided into groups, answer the following.
(a) Calculate the
estimated break-even point in annual unit sales of the new product if Martinez
Company uses the:
(1) Capital-intensive
manufacturing method.
(2) Labor-intensive
manufacturing method.
(b) Determine the
annual unit sales volume at which Martinez Company would be indifferent between
the two manufacturing methods.
(c) Explain the
circumstance under which Martinez should employ each of the two manufacturing
methods.
(a)
(1) Capital-Intensive
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(2) Labor-Intensive
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Fixed manufacturing costs $2,508,000
Incremental selling expenses 502,000
Total fixed costs $3,010,000
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Fixed manufacturing costs $1,538,000
Incremental selling expenses 502,000
Total fixed costs $2,040,000
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|
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Selling price $30.00
Variable costs
Direct
materials $5.00
Direct labor 6.00
Variable
overhead 3.00
Selling
expenses 2.00 16.00
Contribution margin $14.00
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Selling price $30.00
Variable costs
Direct
materials $5.50
Direct labor 8.00
Variable
overhead 4.50
Selling
expenses 2.00 20.00
Contribution margin $10.00
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|
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Total fixed costs (1) $3,010,000
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Total fixed costs (1) $2,040,000
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Contribution margin per unit (2) $14.00
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Contribution margin per unit (2) $10.00
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Break-even in units (1) ÷ (2) 215,000
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Break-even in units (1) ÷ (2) 204,000
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(b) Martinez Company would be indifferent
between the two manufacturing methods at the volume (X) where total costs are
equal.
$16X
+ $3,010,000 = $20X + $2,040,000
$4X =
$970,000
X = 242,500 units
(c) Martinez should employ the capital-intensive manufacturing method
if annual sales are expected to exceed
242,500 units and the labor-intensive manufacturing method if annual
sales are not expected to exceed 242,500
units. The labor-intensive method is more profitable for sales up to 242,500 units because the fixed costs are
lower. The capital-intensive method is more profitable for sales above
242,500 units because its contribution margin is higher.