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Cane Company manufactures two products called Alpha and Beta that sell for $$185$ and $$150,$ respectively. Each product

uses only one type of raw material that costs $$8$ per pound. The company has the capacity to annually produce $119,000$

units of each product. Its average cost per unit for each product at this level of activity is given below:

The company's traceable fixed manufacturing overhead is avoidable, whereas its common fixed expenses are

unavoidable and have been allocated to products based on sales dollars.

Assume Cane's customers would buy a maximum of $93,000$ units of Alpha and $73,000$ units of Beta. Also assume the raw material

available for production is limited to $227,000$ pounds. How many units of each product should Cane produce to maximize its profits?