Dorsey Company manufactures three products from a common input in a joint processing
operation. Joint processing costs up to the split-off point total $350,000 per quarter. The
company allocates these costs to the joint products on the basis of their relative sales value at the
split-off point. Unit selling prices and total output at the split-off point are as follows:
Quarterly
Product Selling Price Output
A $16 per pound 15,000 pounds
B $8 per pound 20,000 pounds
C $25 per pound 4,000 gallons
Each product can be processed further after the split-off point. Additional processing requires no
special facilities. The additional processing costs (per quarter) and unit selling prices after further
processing are given below:
Additional
Product Processing Costs Selling Price
A $63,000 $20 per pound
B $80,000 $13 per pound
C $36,000 $32 per gallon
Required:
1) Which product or products should be sold at the split-off point and which product or
products should be processed further? Show computations.
Answer:
1.
A B C
Selling price after further processing $20 $13 $32
Selling price at the split-off point 16 8 25
Incremental revenue per pound or gallon $ 4 $ 5 $ 7
Total quarterly output in pounds or gallons ×15,000 ×20,000 ×4,000
Total incremental revenue $60,000 $100,000 $28,000
Total incremental processing costs 63,000 80,000 36,000
Total incremental profit or loss $(3,000) $ 20,000 $(8,000)
Therefore, only product B should be processed further.