Exercise 11-12 Volume Trade-Off Decisions [LO11-5]
Benoit Company produces three products—A, B, and C. Data concerning the three products follow (per unit):
Product |
|||||||||||
A | B | C | |||||||||
Selling price | $ |
92.00 |
$ | 66.00 | $ | 82.00 | |||||
Variable expenses: | |||||||||||
Direct materials | 27.60 | 18.00 | 12.00 | ||||||||
Other variable expenses | 27.60 | 31.50 | 45.40 | ||||||||
Total variable expenses | 55.20 | 49.50 | 57.40 | ||||||||
Contribution margin | $ | 36.80 | $ | 16.50 | $ | 24.60 | |||||
Contribution margin ratio | 40 | % | 25 | % | 30 | % | |||||
The company estimates that it can sell 950 units of each product per month. The same raw material is used in each product. The material costs $3 per pound with a maximum of 6,100 pounds available each month.
Required:
1. Calculate the contribution margin per pound of the constraining resource for each product.
2. Which orders would you advise the company to accept first, those for A, B, or C? Which orders second? Third?
3. What is the maximum contribution margin that the company can earn per month if it makes optimal use of its 6,100 pounds of materials?
1. Calculation of contribution margin per pound of constraining resource for each product :
Particulars | Product A | Product B | Product C |
Direct material cost per unit (a) | $27.6 | $18 | $12 |
Direct material cost per pound (b) | $3 | $3 | $3 |
Direct material pounds used per unit [a÷b] (A) | 9.2pounds | 6 pounds | 4 pounds |
Contribution margin per unit (B) (given in question) | $36.8 | $16.5 | $24.6 |
Contribution margin per pound of the constrained resource [B÷A] | $4 per pound | $2.75 per pound | $6.15 per pound |
2. Since we have constraint resource , the preference should be given to the product by considering the contribution margin per pound of the constrained resource. In this case , FIRST preference should be given to PRODUCT C because contribution margin per pound of constrained resource is higher in Product C . SECOND preference is PRODUCT A. THIRD preference is PRODUCT B.
Product | Rank |
Product A | 2 |
Product B | 3 |
Product C | 1 |
3. Calculation of maximum contribution margin if the company makes optimal use of its 6,100 pounds of materials.
Maximum demand for each product is 950 units per month. However we have only 6100 pounds of materials per month. So, first we have to produce the product which gives higher contribution margin per pound . So,we have to produce PRODUCT C which gives contribution margin of $6.15 per pound. Total pounds of materials to be used to produce Product C is [950 units * 4pounds per unit] = 3,800 pounds. The remaining pounds are to be used to produce the product which gives the next higher contribution margin per pound. The second product is PRODUCT A. No of units of Product A that can be manufacture with remaining 2300 pounds is [ 2300 pounds÷9.2 pounds ] =250 units of Product A. We cannot produce any unit of Product B because ,we do not have any pounds after manufacturing 950 units of Product C and 250 units of Product A
Particulars | Product A | Product B | Product C | Total |
Maximum demand (a) | 950 units | 950 units | 950 units | |
Direct material pounds required per unit (b) | 9.2 pounds | 6 pounds | 4 pounds | |
Total direct material pounds required[a*b] | 8,740 pounds | 5,700 pounds | 3,800 pounds | 18,240 pounds |
Available Direct material pounds | 6100 pounds | |||
Allocating direct material pounds as per contribution margin per pound [A] | 2,300 pounds | 0 pounds | 3,800 pounds | 6,100 pounds |
No of units produced | 250 units | 0 units | 950 units | |
Contribution margin per pound [B] | $4 | $2.75 | $6.15 | |
Total Maximum Contribution margin[A*B] | $9,200 | $0 | $23,370 | $32,570 |
THANK YOU.
PLEASE PROVIDE YOUR VALUABLE FEEDBACK.
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