Dorsey Company manufactures three products from a common input in a joint processing operation. Joint processing costs up to the split-off point total $370,000 per quarter. For financial reporting purposes, 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:
Product | Selling Price |
Quarterly Output |
||||
A | $ | 24.00 | per pound | 13,800 | pounds | |
B | $ | 18.00 | per pound | 21,500 | pounds | |
C | $ | 30.00 | per gallon | 5,000 | 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:
Product |
Additional Processing Costs |
Selling Price |
|||
A | $ | 81,150 | $ | 29.50 | per pound |
B | $ | 117,125 | $ | 24.50 | per pound |
C | $ | 52,900 | $ | 38.50 | per gallon |
Required:
1. What is the financial advantage (disadvantage) of further processing each of the three products beyond the split-off point?
2. Based on your analysis in requirement 1, which product or products should be sold at the split-off point and which product or products should be processed further?
1. Computation of incremental profit and (loss) at split off point:
Particulars | Product A | Product B | Product C |
Selling price after further processing | 29.50 | 24.50 | 38.50 |
- Selling price at the split off point | 24 | 18 | 30 |
Incremental revenue per pound/gallon | 5.5 | 6.5 | 8.5 |
Total quarterly output | 13800 | 21500 | 5000 |
Total incremental revenue | 75900 | 139750 | 42500 |
- Additional processing costs | 81150 | 117125 | 52900 |
Incremental profit/loss | (5250) | 22625 | (10400) |
2. Product A and C should be sold at the split off point because their incremental revenues are loss then the total processing costs. It would not generate any more profit from further splitting thus should be sold.
Only Product B can be processed further because it is generating further profits so there is scope of further splitting.
In the given question, Product B only turns out to be profitable to Dorsey company.
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