Bruce Corporation makes four products in a single facility. These products have

Question

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

Additional data concerning these products are listed below.

The grinding machines are potentially the constraint in the production facility. A total of 9,800 minutes are available per month on these machines.

Direct labor is a variable cost in this company.

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

Products A B C D Direct materials $ 19.90 $ 15.20 $ 20.80 $ 23.20 Direct labor 12.20 8.70 10.50 7.40 Variable manufacturing overhead $ 1.60 $ 2.10 $ 2.00 $ 2.10 Fixed manufacturing overhead 10.80 11.90 8.80 10.70 Unit product cost 44.50 37.90 42.10 43.40

Explanation / Answer

Solution:

Particulars

Amount ($)

Amount ($)

Amount ($)

Amount ($)

Products

A

B

C

D

Selling Price per unit

59.30

51.70

59.50

55.60

Less: Variable Cost

Direct materials

(19.90)

(15.20)

(20.80)

(23.20)

Direct labor

(12.20)

(8.70)

(10.50)

(7.40)

Variable manufacturing overhead

(1.60)

(2.10)

(2.00)

(2.10)

Variable selling cost per unit

(3.60)

(1.50)

(2.20)

(3.60)

Contribution per unit

$ 22

$ 24.2

$ 24

$ 19.3

Grinding minutes per unit

1.20

0.70

0.60

0.60

Contribution per grinding minutes

=( Contribution per unit / Grinding minutes per unit )

= $ 22 / 1.20

= $ 18.33

= $ 24.2 / 0.70

= $ 34.57

= $ 24 /0.60

= $ 40

= $ 19.3 / 0.60

= $ 32.16

Ranks in terms of profitability

4th

2nd

1st

3rd

On the basis of above ranking “Product A makes the LEAST profitable use of the grinding machines”.

Particulars

Amount ($)

Amount ($)

Amount ($)

Amount ($)

Products

A

B

C

D

Selling Price per unit

59.30

51.70

59.50

55.60

Less: Variable Cost

Direct materials

(19.90)

(15.20)

(20.80)

(23.20)

Direct labor

(12.20)

(8.70)

(10.50)

(7.40)

Variable manufacturing overhead

(1.60)

(2.10)

(2.00)

(2.10)

Variable selling cost per unit

(3.60)

(1.50)

(2.20)

(3.60)

Contribution per unit

$ 22

$ 24.2

$ 24

$ 19.3

Grinding minutes per unit

1.20

0.70

0.60

0.60

Contribution per grinding minutes

=( Contribution per unit / Grinding minutes per unit )

= $ 22 / 1.20

= $ 18.33

= $ 24.2 / 0.70

= $ 34.57

= $ 24 /0.60

= $ 40

= $ 19.3 / 0.60

= $ 32.16

Ranks in terms of profitability

4th

2nd

1st

3rd

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