Question

In: Accounting

Bacon Company makes four products in a single facility. These products have the following unit product...

Bacon Company makes four products in a single facility. These products have the following unit product costs:

Products
A B C D
Direct materials $ 14.85 $ 10.75 $ 11.55 $ 11.15
Direct labor 19.95 27.95 34.15 40.95
Variable manufacturing overhead 4.85 3.25 3.15 3.75
Fixed manufacturing overhead 27.05 35.35 27.15 37.75
Unit product cost $ 66.70 $ 77.30 $ 76.00 $ 93.60


Additional data concerning these products are listed below.

Products
A B C D
Grinding minutes per unit 3.80 5.30 4.30 3.40
Selling price per unit $ 76.65 $ 94.05 $ 87.95 $ 104.75
Variable selling cost per unit $ 2.75 $ 1.75 $ 3.85 $ 2.15
Monthly demand in units 4,220 4,220 3,220 2,220


The grinding machines are the constraint in the production facility. A total of 54,700 minutes is available per month on these machines.
Direct labor is a variable cost in this company.

Which product makes the MOST profitable use of the grinding machines?

Solutions

Expert Solution

Products
A B C D
Grinding minutes per unit (a) 3.80 5.30 4.30 3.40
Selling price per unit (b) $76.65 $94.05 $87.95 $104.75
Sales Revenue (a * b) $291.27 $498.47 $378.19 $356.15
Less: Variable Costs (see note) ($161.12) ($231.61) ($226.61) ($197.20)
Contribution Margin $130.15 $266.86 $151.58 $158.95
Less: Fixed Costs (see note) ($102.79) ($187.36) ($116.75) ($128.35)
Operating Income $27.36 $79.49 $34.83 $30.60
Therefore, Product B is more profitable because it has highest operating income based on the use of grinding machines.
Working notes: A B C D
Direct materials $14.85 $10.75 $11.55 $11.15
Direct labor $19.95 $27.95 $34.15 $40.95
Variable manufacturing overheads $4.85 $3.25 $3.15 $3.75
Variable selling cost per unit $2.75 $1.75 $3.85 $2.15
Variable cost per unit (a) $42.40 $43.70 $52.70 $58.00
Grinding minutes per unit (b) 3.80 5.30 4.30 3.40
Variable costs (a*b) $161.12 $231.61 $226.61 $197.20
Fixed manufacturing overheads (a) $27.05 $35.35 $27.15 $37.75
Grinding minutes per unit (b) 3.80 5.30 4.30 3.40
Total Fixed Expenses (a*b) $102.79 $187.36 $116.75 $128.35

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