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. 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 | $ | 20.00 | per pound | 13,000 | pounds | |
B | $ | 14.00 | per pound | 20,300 | pounds | |
C | $ | 26.00 | per gallon | 4,200 | 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 | $ | 70,950 | $ | 25.10 | per pound |
B | $ | 101,905 | $ | 20.10 | per pound |
C | $ | 43,780 | $ | 34.10 | 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.
Product |
Selling price at split off (i) |
Output (ii) |
Sales value at split off (i) x (ii) = (iii) |
Selling price after further processing (iv) |
Sales value after further processing (ii) x (iv) = (v) |
Incremental sales revenue (v) - (iii) = (vi) |
Further processing costs (vii) |
Incremental income (loss) (vi -(vii) |
A |
20 |
13,000 |
260,000 |
25.10 |
326,300 | 66,300 |
70,950 |
-4,650 |
B |
14 |
20,300 |
284,200 |
20.10 |
408,030 | 123,830 |
101,905 |
21,925 |
C |
26 |
4,200 |
109,200 |
34.10 |
143,220 | 34,020 |
43,780 |
-9,760 |
Product A |
Product B |
Product C |
|
Financial advantage (disadvantage) of further processing |
-4,650 | 21,925 | -9,760 |
2.
Product A |
Product B |
Product C |
|
Sell at split off point |
Yes |
No |
Yes |
Process further |
No |
Yes |
No |
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