Question

In: Accounting

he Marshall Company has a joint production process that produces two joint products and a by-product....

he Marshall Company has a joint production process that produces two joint products and a by-product. The joint products are Ying and Yang, and the by-product is Bit. Marshall accounts for the costs of its products using the net realizable value method. The two joint products are processed beyond the split-off point, incurring separable processing costs. There is a $1,300 disposal cost for the by-product. A summary of a recent month’s activity at Marshall is shown below: Ying Yang Bit Units sold 65,000 52,000 13,000 Units produced 65,000 52,000 13,000 Separable processing costs—variable $ 182,000 $ 55,000 $ — Separable processing costs—fixed $ 13,000 $ 10,000 $ — Sales price $ 6.00 $ 12.50 $ 1.50 Total joint costs for Marshall in the recent month are $188,200, of which $80,926 is a variable cost. Required: 1. Calculate the manufacturing cost per unit for each of the three products. (Round manufacturing cost per unit answers to 2 decimal places.) 2. Calculate the total gross margin for each product.

Solutions

Expert Solution

1) Manufacturing cost per unit for each of three products
Joint Products By product
Ying Yang Bit
Units produced & sold ( as given ) A                65,000             52,000         13,000
Separable processing costs - variable ( as given ) G             1,82,000             55,000                -  
Separable processing costs - fixed ( as given ) H                13,000             10,000                -  
Disposal cost of the by product ( as given )                      -                     -             1,300
Final Sales Value per unit ( as given ) B                   6.00              12.50             1.50
Final Sales Value ( A * B)           3,90,000        6,50,000        19,500
Sales Value (-) Separable processing costs ( Refer Note a)             1,95,000          5,85,000                -  
Joint cost allocation for the month ( Refer Note b) I                47,050          1,41,150                -  
Total cost of manufacturing (G+H+I) J           2,42,050        2,06,150                -  
Cost of manufacturing per unit (J/A)                  3.72               3.96                -  
Notes
a As mentioned in the question, Marshall accounts for the cost of its products using the net realizable value method.
In cost accounting, when separable costs are incurred after you pass the splitoff point, the net realizable value (NRV) method allocates joint costs on the basis of the final sales value less separable costs. Final sales value is simply the price tag — the price paid by the customer. Therefore :
Ying Yang
Final Sales Value ( A * B) C             3,90,000          6,50,000
Separable processing costs - variable ( as given ) D             1,82,000             55,000
Separable processing costs - fixed ( as given ) E                13,000             10,000
C- (D+E) F           1,95,000        5,85,000
b Joint cost allocation for the month
Total joint cost for the month             1,88,200
Variable joint cost                80,926
Fixed joint cost             1,07,274
Ying (188,200*195,000/(195,000+585,000))              47,050
Yang (188,200*585,000/(195,000+585,000))           1,41,150
2) Total Gross Margin for each product
Joint Products By product
Ying Yang Bit
Final Sales Value (from above)             3,90,000          6,50,000         19,500
Total cost of manufacturing (from J above)             2,42,050          2,06,150                -  
Gross Margin ( Sales Value - Cost of manufacturing)           1,47,950        4,43,850        19,500

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