In: Accounting
Dorsey Company manufactures three products from a common input in a joint processing operation. Joint processing costs up to the split-off point total $365,000 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 | $ | 23.00 | per pound | 13,600 | pounds | |
| B | $ | 17.00 | per pound | 21,200 | pounds | |
| C | $ | 29.00 | per gallon | 4,800 | 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 | $ | 78,540 | $ | 28.40 | per pound | 
| B | $ | 113,230 | $ | 23.40 | per pound | 
| C | $ | 50,560 | $ | 37.40 | 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?
Solution 1)
| Product A | Product B | Product C | |
| Financial advantage (Disadvantage) | $(5100) | $22450 | $(10240) | 
2) Product A and C should be sold at splitoff point and Product B should be further processes
Explanation
1)Differential cost refers to the difference
between the cost of two alternative decisions. The cost occurs when
a business faces several options
Calculation of Incremental Revenue or (Loss) ie Financial Advantage or Disadvantage
| Product A | Product B | Product C | |
| Units (a) | 13600 | 21200 | 4800 | 
| Selling Price at splitoff point | $23 | $17 | $29 | 
| Selling price after further Processing | $28.40 | $23.40 | $37.40 | 
| Incremental Selling price per unit | $5.4 | $6.4 | 
 $8.4  | 
| Total incremental Revenue(a+b) | $73440 | $135680 | $40320 | 
| Less Incremental cost | |||
| Addition Processing Cost | $78540 | $113230 | $50560 | 
| Financial advantage (disadvantage) | $(5100) | $22450 | $(10240) | 
* Incremental Selling Price Per unit = unit Selling price After Split off Point Less Unit Selling price at Split off point
* Joint processing cost upto splitoff point is not relevant as it going to be inccured whatever will be chosen whether sold at splitoff or further processing