Exercise $7-32($Algo$)$ Joint Products $[$LO $7-6]$

Arkansas Corporation manufactures liquid chemicals A and $B$ from a joint process. It allocates joint costs on the basis of sales value at

split$-$off. Processing $5,000$ gallons of product A and $1,500$ gallons of product $B$ to the split$-$off point costs $$6,700.$ The sales value at

split$-$off is $$2\mathrm{.}90$ per gallon for product A and $$29\mathrm{.}00$ per gallon for product $B.$ Product $B$ requires additional separable processing

beyond the split$-$off point at a cost of $$2\mathrm{.}70$ per gallon before it can be sold at a price of $$34$ per gallon.

Required:

What is the company's cost to produce $1,500$ gallons of product $B?$