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D. The Smith Company produces four products. The company has limited labor - only 10,000 hours are available this month. Prod
E.) The Smith Company produces four products. The company has limited machine time - only 50,000 hours are available this mon
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Ans. D Statement of Comparative Profitability
Product A Product B Product C Product D
Selling price per unit $110.00 $200.00 $300.00 $240.00
Less: Variable cost per unit -$100.00 -$170.00 -$250.00 -$195.00
Contribution margin per unit $10.00 $30.00 $50.00 $45.00
Labor hours per unit 5 10 20 30
Contribution per labor hour $2.00 $3.00 $2.50 $1.50
Ranking 3 1 2 4
*Contribution per labor hour =   Contribution margin per unit / Labor hours per unit
Products Units Produced (a) Labor hours per unit (b) Labor hours (a*b)
B 200 10 2000
C 300 20 6000
A 100 5 500
D 50 30 1500
Maximum labor hours available 10000
Labor hours for Product D   =   Total labor hours -( Labor hours for Product B + Labor hours for Product C + Labor hours for Product A)
10000 - (2000 + 6000 + 500)
1500
Maximum units of Product D   =   Labor hours for Product D / Labor hours per unit
1500 / 30
50
Ans. E Statement of Comparative Profitability
Product A Product B Product C Product D
Selling price per unit $110.00 $200.00 $300.00 $240.00
Less: Variable cost per unit -$100.00 -$170.00 -$250.00 -$195.00
Contribution margin per unit $10.00 $30.00 $50.00 $45.00
Machine hours per unit 10 40 60 50
Contribution per labor hour $1.00 $0.75 $0.83 $0.90
Ranking 1 4 3 2
*Contribution per labor hour =   Contribution margin per unit / Required no. of labor hours
Products Units Produced (a) Labor hours per unit (b) Labor hours (a*b)
A 100 10 1000
D 400 50 20000
C 300 60 18000
B 275 40 11000
Maximum machine hours available 50000
Machine hours for Product B   =   Total labor hours -( Labor hours for Product A + Labor hours for Product D + Labor hours for Product C)
50000 - (1000 + 20000 + 18000)
11000
Maximum units of Product B =   Machine hours for Product B / Machine hours per unit
11000 / 40
275
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