Required information The Foundational 15 (Algo) [LO13-2, LO13-3, LO13-4, LO13-5, LO13-6] Skip to question [The following information applies to the questions displayed below.] Cane Company manufactures two products called Alpha and Beta that sell for $175 and $135, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the capacity to annually produce 117,000 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 30 30 Variable manufacturing overhead 18 16 Traceable fixed manufacturing overhead 26 29 Variable selling expenses 23 19 Common fixed expenses 26 21 Total cost per unit $ 163 $ 130 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. Foundational 13-13 (Algo) 13. Assume that Canes customers would buy a maximum of 91,000 units of Alpha and 71,000 units of Beta. Also assume that the raw material available for production is limited to 225,000 pounds. How many units of each product should Cane produce to maximize its profits?