In: Accounting
Allocating Joint Costs Using the Constant Gross Margin Method
A company manufactures three products, L-Ten, Triol, and Pioze, from a joint process. Each production run costs $12,800. None of the products can be sold at split-off, but must be processed further. Information on one batch of the three products is as follows:
Product  | 
Gallons | Further Processing Cost per Gallon  | 
Eventual
Market Price per Gallon  | 
| L-Ten | 3,600 | $0.50 | $2.00 | 
| Triol | 4,000 | 1.00 | 5.00 | 
| Pioze | 2,400 | 1.50 | 6.00 | 
Required:
1. Calculate the total revenue, total costs, and total gross profit the company will earn on the sale of L-Ten, Triol, and Pioze.
| Total Revenue | $ | 
| Total Costs | $ | 
| Total Gross Profit | $ | 
2. Allocate the joint cost to L-Ten, Triol, and Pioze using the constant gross margin percentage method. Round the gross margin percentage to four decimal places and round all other computations to the nearest dollar.
| Joint Cost | |
| Product | Allocation | 
| L-Ten | $ | 
| Triol | |
| Pioze | |
| Total | $ | 
(Note: The joint cost allocation does not equal due to rounding.)
| Product | Gallons | Further Processing | Eventual Market | |
| Cost per Gallon | Price per Gallon | |||
| L-Ten | 3,600 | 0.5 | 2 | |
| Triol | 4,000 | 1 | 5 | |
| Pioze | 2,400 | 1.5 | 6 | |
| L-Ten | Triol | Pioze | Total | |
| Total Revenue | 7,200 | 20,000 | 14,400 | 41,600 | 
| Total cost | 1,800 | 4,000 | 3,600 | 9,400 | 
| Gross Profit | 5,400 | 16,000 | 10,800 | 32,200 | 
| Gross Margin % | 0.1677 | 0.4969 | 0.3354 | 1.0000 | 
| Joint Cost | ||||
| Product | Allocation | |||
| L-Ten | 2,146.56 | |||
| Triol | 6,360.32 | |||
| Pioze | 4,293.12 | |||
| Total | 12,800.00 |