Cane Company manufactures two products called Alpha and Beta that sell for $$150$ and $$105,$ respectively. Each product uses only one type of raw material that costs $$5$ per pound. The company has the capacity to annually produce $107,000$ 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.

USE INFO ABOVE

$10.$Assume Cane expects to produce and sell $55,000$ Alphas during the current year. A supplier offered to manufacture and deliver $55,000$ Alphas to Cane for a price of $$100$ per unit. What is the financial advantage $($disadvantage$)$ of buying $55,000$ units from the supplier instead of making those units?

$11.$How many pounds of raw material are needed to make one unit of each of the two products?

$12.$What contribution margin per pound of raw material is earned by each of the two products?

Note: Round your answers to $2$ decimal places.

$13.$ Assume Cane$$s customers would buy a maximum of $85,000$ units of Alpha and $65,000$ units of Beta. Also assume the raw material available for production is limited to $166,000$ pounds. How many units of each product should Cane produce to maximize its profits?