Joint-cost allocation with a byproduct. The Cumberland Mine is a small mine that extracts coal in West Virginia. Each ton of coal mined is 40% Grade A coal, 40% Grade B coal, and 20% coal tar. All output is sold immediately to a local utility. In May, Cumberland mined 1,000 tons of coal. It spent $10,000 on the mining process. Grade A coal sells for $100 per ton. Grade B coal sells for $60 per ton. Cumberland gets one-quarter of a vat of coal tar from each ton of coal tar processed. The coal tar sells for$60 per vat Cumberland treats Grade A and Grade B coal as joint products, and treats coal tar as a byproduct

1. Assume that Cumberland allocates the joint costs to Grade A and Grade B coal using the sales value at splitoff method and accounts for the byproduct using the production method. What is the inventoriable cost for each product and Cumberland’s gross margin?

2. Assume that Cumberland allocates the joint costs to Grade A and Grade B coal using the sales value at splitoff method and accounts for the byproduct using the sales method. What is the inventoriable cost for each product and Cumberland’s gross margin?

3. Discuss the difference between the two methods of accounting for byproducts, focusing on what conditions are necessary to use each method.