Question

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Allocating Joint Costs Using the Constant Gross Margin Method A company manufactures three products, L-Ten, Triol,...

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 $12,900. 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 3,500 $0.50    $ 2.00   
Triol 4,000 1.00       5.00   
Pioze 2,500 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 $12,900 due to rounding.)

3. What if it cost $2 to process each gallon of Triol beyond the split-off point? How would that affect the allocation of joint cost to these three products? 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 $12,900 due to rounding.)

Solutions

Expert Solution

Answer 1:
Product Galloons Further costs Futher cost
total
L Ten 3500 0.5 1750
Triol 4000 1 4000
pioze 2500 1.5 3750
Joint cost 12900
Total cost 22400
Product Galloons Market price Market value
L Ten 3500 2 7000
Triol 4000 5 20000
pioze 2500 6 15000
Total Revenue 42000

Gross profit = Total Revenue - total cost

Gross profit = 42000 - 22400

Gross profit = 19600

Answer 2 )

Gross margin percentage = Total gross profit * 100 / total revenue

Gross margin percentage =  19600 * 100 / 42000

Gross margin percentage = 46.66%

A B = A * GM % C D = A - B- C
Product market Value Gross margin Futher cost Joint cost allocated
L Ten 7000 3267 1750 1983
triol 20000 9333 4000 6667
Pioze 15000 7000 3750 4250
12900

Answer3 )

Product gallons Futher cost Futher cost ( Total)
L ten 3500 0.5 1750
Triol 4000 2 8000
Pioze 2500 1.5 3750
Joint cost 12900

Total cost = 1750 + 8000 + 3750 + 12900 = 26400

Total revenue = 42000

Gross profit = total revenue - total cost

Gross profit = 42000 - 26400

Gross profit = 15600

Gross margin percentage = 15600 * 100 / 42000

Gross margin percentage= 37.14%

A B = A * GM % C D = A - B- C
Product market Value Gross margin Futher cost Joint cost allocated
L Ten 7000 2600 1750 2650
triol 20000 7429 8000 4571
Pioze 15000 5571 3750 5679
12900

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