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 4,600 gallons of product A and 1,000 gallons of product B to the split-off point costs $5,500. The sales value at split-off is $3.00 per gallon for product A and $32.20 for product B. Product B requires an additional separable process beyond split-off at a cost of $2.10 per gallon before it can be sold. Required: What is the company's cost to produce 1,000 gallons of product B?

The company's cost to produce 1,000 gallons of product B is $7,131.25.

Explanation:

This can be calculatd as follows:

Product B share of joint cost = (Product B sales value / (Product B sales value + Product A sales value)) * Cost to split-off point = ($32.20 / ($32.20 + $3.00)) * $5,500 = 0.914772727272727 * $5,500 = 5,031.25

Product B total additional separable process beyond split-off = Additional cost per gallon * Number of gallons of product B produced = $2.10 * 1,000 = $2,100

Therefore, we have:

Company's cost to produce 1,000 gallons of product B = Product B share of joint cost + Product B total additional separable process beyond split-off = 5,031.25 + $2,100 = $7,131.25

Therefore, the company's cost to produce 1,000 gallons of product B is $7,131.25.

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