In: Accounting
Garden of Eden Company manufactures two products, Brights and Dulls, from a joint process. A production run costs $50,000 and results in 250 units of Brights and 1,000 units of Dulls. Both products must be processed past the split-off point, incurring separable costs for Brights of $60 per unit and $40 per unit for Dulls. The market price is $250 for Brights and $200 for Dulls.
1. What is the amount of joint costs allocated to Dulls using the physical units method?
2. What is the gross profit for Brights assuming the net realizable value method is used?
3. What is the gross profit for Dulls assuming the constant gross margin percentage method is used?
1. Joint costs allocated to Dulls using physical units method: $40000
Brights | Dulls | Total | |
Physical units | 250 | 1000 | 1250 |
Joint production costs $ | 50000 | ||
Joint cost allocated $ | 40000 | ||
($50000 x 1000/1250) |
2. Gross profit for Brights with net realizable value method: $36054
Brights | Dulls | Total | |
Market price per unit $ | 250 | 200 | |
Less: Separable costs $ | 60 | 40 | |
Net realizable value per unit $ | 190 | 160 | |
Number of units | 250 | 1000 | |
Total net realizable value $ | 47500 | 160000 | 207500 |
Joint production costs $ | 50000 | ||
Joint cost allocated $ | 11445.78 | ||
($50000 x $47500/$207500) | |||
Sales (250 x $250) | 62500 | ||
Less: Costs $ | |||
Joint cost allocated | 11446 | ||
Separable costs (250 x $60) | 15000 | ||
Total costs $ | 26446 | ||
Gross profit $ | 36054 |
3. Gross profit for Dulls with constant gross margin percentage method: $120000
Total gross margin percentage = (Total revenue - Total costs)/Total revenue
Total revenue = (250 x $250) + (1000 x $200) = $62500 + $200000 = $262500
Total costs = $50000 + (250 x $60) + ($1000 x $40) = $50000 + $15000 + $40000 = $105000
Total gross margin percentage = ($262500 - $105000)/$262500 = $157500/$262500 = 60%
Gross profit for Dull = Market value x Total gross margin percentage = (1000 x $200) x 60% = $200000 x 60% = $120000