Cane Company manufactures two products called Alpha and Beta that sell for $$140$ and $$100,$ respectively. Each product uses only one type of raw material that costs $$8$ per pound. The company has the capacity to annually produce $106,000$ units of each product. Its average cost per unit for each product at this level of activity are given below:

Alpha Beta

Direct materials $ $32$ $ $16$

Direct labor $2419$

Variable manufacturing overhead $109$

Traceable fixed manufacturing overhead $2022$

Variable selling expenses $1612$

Common fixed expenses $1914$

Total cost per unit $ $121$ $ $92$

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$$s customers would buy a maximum of $84,000$ units of Alpha and $64,000$ units of Beta. Also assume that the company$$s raw material available for production is limited to $166,000$ pounds. If Cane uses its $166,000$ 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.$)$