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 $320,000 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 |
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| A | $ | 14.00 | per pound | 11,800 | pounds | |
| B | $ | 8.00 | per pound | 18,500 | pounds | |
| C | $ | 20.00 | per gallon | 3,000 | 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 | $ | 56,850 | $ | 18.50 | per pound |
| B | $ | 80,875 | $ | 13.50 | per pound |
| C | $ | 31,300 | $ | 27.50 | 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.) | Sales value at Split-off Point | ||||
| Product | Amount in $ | ||||
| A ( 14 x 11,800 ) | 165,200 | ||||
| B ( 8 x 18,500 ) | 148,000 | ||||
| C ( 20 x 3,000 ) | 60,000 | ||||
| Total | 373,200 | ||||
| Joint Cost | $320,000 | ||||
| Allocation of Joint cost in the ratio of sale at split-off point | |||||
| Product | Amount in $ | ||||
| A | 141,651 | ( 320,000 x 165,200 ) / 373,200 | |||
| B | 126,902 | (320,000 x 148,000) / 373,200 | |||
| C | 51,447 | (320,000 x 60,000) / 373,200 | |||
| Total Allocated Joint Cost | 320,000 | ||||
| Calculation of Profit at sale at split-off point | |||||
| Product | A | B | C | ||
| Sale value at split off point | 165,200 | 148,000 | 60,000 | ||
| Less: Allocated Joint Cost | 141,651 | 126,902 | 51,447 | ||
| Profit at split-off point | 23,549 | 21,098 | 8,553 | ||
| Calculation of Profit after further processing | |||||
| Product | A | B | C | ||
| Sale value after further processing | 218,300 | 249,750 | 82,500 | ||
| Less: Allocated Joint Cost | 141,651 | 126,902 | 51,447 | ||
| Less: cost of further processing | 56,850 | 80,875 | 31,300 | ||
| Profit (loss) after further processing | 19,799 | 41,973 | -247 | ||
| Financial Advantage (disadvantage ) from further processing | |||||
| Product | A | B | C | ||
| Profit (loss ) after further processing | 19,799 | 41,973 | -247 | ||
| Less: Profit at split-off point | 23,549 | 21,098 | 8,553 | ||
| Financial Advantage (Disadvantage ) | -3,750 | 20,875 | -8,800 | ||
| Financial (disadvantage) from further processing of A is -$3.750. | |||||
| Financial advantage from further processing of B is $20,875. | |||||
| Financial (disadvantage ) from further processing of C is -$8,800. | |||||
| 2.) | Recommendations | ||||
| Product | |||||
| A | Sell at split off point | ||||
| B | Process further | ||||
| C | Sell at split off point | ||||