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Cane Company manufactures two products called Alpha and Beta that sell for $195 and $150, respectively. Each product uses only one type of raw material

Cane Company manufactures two products called Alpha and Beta that sell for $195 and $150, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the capacity to annually produce 123,000 units of each product. Its average cost per unit for each product at this level of activity are given below:

Alpha Beta
Direct materials $ 40 $ 15
Direct labor 34 28
Variable manufacturing overhead 22 20
Traceable fixed manufacturing overhead 30 33
Variable selling expenses 27 23
Common fixed expenses 30 25
Total cost per unit $ 183 $ 144

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.

13. Assume that Canes customers would buy a maximum of 95,000 units of Alpha and 75,000 units of Beta. Also assume that the raw material available for production is limited to 245,000 pounds. How many units of each product should Cane produce to maximize its profits?

units produced - alpha () Beta ()

Please write the alpha/beta value in their respective ()

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