[The following information applies to the questions displayed below.] 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 are given below: Alpha Direct materials Direct labor Variable manufacturing overhead Traceable fixed manufacturing overhead Variable selling expenses Common fixed expenses Total cost per unit Beta $ 24 28 18 31 21 23 $145 $ 40 20 28 25 28 $174 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 Cane's customers would buy a maximum of 93,000 units of Alpha and 73,000 units of Beta. Also assume that the company's raw material available for production is limited to 227,000 pounds. How many units of each product should Cane produce to maximize its profits