Cane Company manufactures two products called Alpha and Beta that sell for $$120$ and $$80,$ respectively. Each product uses only one type of raw material that costs $$6$ per pound. The company has the capacity to annually produce $100,000$ units of each product. Its average cost per unit for each product at this level of activity are given below:

Alpha Beta

Direct materials $ $30$ $ $12$

Direct labor $2015$

Variable manufacturing overhead $75$

Traceable fixed manufacturing overhead $1618$

Variable selling expenses $128$

Common fixed expenses $1510$

Total cost per unit $ $100$ $ $68$

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.

$15.$ Assume that Cane$$s customers would buy a maximum of $80,000$ units of Alpha and $60,000$ units of Beta. Also assume that the company$$s raw material available for production is limited to $160,000$ pounds. If Cane uses its $160,000$ pounds of raw materials, up to how much should it be willing to pay per pound for additional raw materials? $($Round your answer to $2$ decimal places.$)$