Question
Cane Company manufactures two products called Alpha and Beta that sell for $225 and $175, respectively. Each product uses only one type of raw material
Cane Company manufactures two products called Alpha and Beta that sell for $225 and $175, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 130,000 units of each product. Its average cost per unit for each product at this level of activity are given below:
Alpha | Beta | |||||||
Direct materials | $ | 42 | $ | 24 | ||||
Direct labor | 42 | 32 | ||||||
Variable manufacturing overhead | 26 | 24 | ||||||
Traceable fixed manufacturing overhead | 34 | 37 | ||||||
Variable selling expenses | 31 | 27 | ||||||
Common fixed expenses | 34 | 29 | ||||||
Total cost per unit | $ | 209 | $ | 173 | ||||
The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are unavoidable and have been allocated to products based on sales dollars.
1. How many pounds of raw material are needed to make one unit of each of the two products, Alpha and Beta? and What contribution margin per pound of raw material is earned by each of the two products, Alpha and Beta?
2. Assume that Canes customers would buy a maximum of 99,000 units of Alpha and 79,000 units of Beta. Also assume that the companys raw material available for production is limited to 344,000 pounds. How many units of each product should Cane produce to maximize its profits?
3. Assume that Canes customers would buy a maximum of 99,000 units of Alpha and 79,000 units of Beta. Also assume that the companys raw material available for production is limited to 344,000 pounds. What is the maximum contribution margin Cane Company can earn given the limited quantity of raw materials?
4. Assume that Canes customers would buy a maximum of 99,000 units of Alpha and 79,000 units of Beta. Also assume that the companys raw material available for production is limited to 344,000 pounds. If Cane uses its 344,000 pounds of raw materials, up to how much should it be willing to pay per pound for additional raw materials? (Round your answer to 2 decimal places.)
Thank you
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