
a.
Find the contribution margin according to the information given in the question.
a.

Answer to Problem 39P
The total contribution margin of home when selling 87,500 units is $2,345,625.
Explanation of Solution
Contribution margin:
The excess of sales price over the variable expenses is referred to as the contribution margin. It is computed by deducting the variable expenses from the sales revenue. A contribution margin income statement is prepared in order to record the contribution margin.
Compute the contribution margin of the home if it sells 87,500 units outside:
Particulars | Details | Amount |
Outside sales revenue | $6,300,000 | |
Less: material and out-of-pocket cost for outside sales | $630,000 | $5,670,000 |
Leftover DLH | $2,278,125(1) | |
Less: material and out-of-pocket cost for units transferred | $202,500 | $2,075,625 |
$7,745,625 | ||
Labor costs | $5,400,000 | |
Total contribution margin | $2,345,625 |
Table: (1)
Thus, the total contribution margin of home when selling 87,500 units is $2,345,625.
Working note 1:
Compute the leftover DLH:
b.
Find the contribution margin according to the information given in the question.
b.

Answer to Problem 39P
The contribution margin of home at transferring 75,000 units to mobile is $1,755,000.
Explanation of Solution
Contribution margin:
The excess of sales price over the variable expenses is referred to as the contribution margin. It is computed by deducting the variable expenses from the sales revenue. A contribution margin income statement is prepared in order to record the contribution margin.
Compute the contribution margin to home if it sells 75,000 units to mobile:
Particulars | Details | Amount |
Units transferred | $6,075,000 | |
Less: material and out-of-pocket costs for units transferred | $540,000 | $5,535,000 |
Leftover DLH | $1,800,000(2) | |
Less: material and out-of-pocket costs for outside sales | $180,000 | $1,620,000 |
$7,155,000 | ||
Labor costs | $5,400,000 | |
Contribution margin | $1,755,000 |
Table: (2)
Thus, the contribution margin of home at transferring 87,500 units to mobile is $1,755,000.
Working note 1:
Compute the leftover DLH:
c.
Compute the costs to be considered according to the information given in the question.
c.

Answer to Problem 39P
The contribution margin of the company at the capacity of producing 87,500 units is $8,730,000.
Explanation of Solution
Contribution margin:
The excess of sales price over the variable expenses is referred to as the contribution margin. It is computed by deducting the variable expenses from the sales revenue. A contribution margin income statement is prepared in order to record the contribution margin.
Compute the costs to be considered in determining the optimal company policy:
Particulars | Home | Mobile | Company |
Sales by the home to outside | $6,300,000 | $6,300,000 | |
Sales by the home to mobile | $2,278,125 | $2,278,125 | |
Sales by mobile to outside | $15,300,000 | $15,300,000 | |
Total sales | $8,578,125 | $15,300,000 | $23,878,125 |
Cost of materials, etc. at home | $832,500 | $832,500 | |
Cost of labor in the home | $5,400,000 | $5,400,000 | |
Cost of units transferred to mobile | $2,278,125 | $2,278,125 | |
Cost of units purchased from outside by mobile | $3,937,500 | $3,937,500 | |
Conversion cost in mobile | $2,700,000 | $2,700,000 | |
Contribution | $2,345,625 | $9,084,375 | $8,730,000 |
Table: (3)
Thus, the contribution margin of the company at the capacity of producing 87,500 units is $8,730,000.
d.
Compute the annual contributions and cost according to the information given in the question.
d.

Answer to Problem 39P
The difference in company contribution margin is $450,000.
Explanation of Solution
Contribution margin:
The excess of sales price over the variable expenses is referred to as the contribution margin. It is computed by deducting the variable expenses from the sales revenue. A contribution margin income statement is prepared in order to record the contribution margin
As computed in the previous part the contribution margin for the situation if the home sold 75,000 units to mobile is $1,755,000
Compute the mobile contribution if 75,000 units were transferred to mobile:
Thus, the company contribution at selling 75,000 would be:
The contribution margin compute at 87,500 units is $8,730,000
Thus,
Compute the difference in company contribution margin:
Thus, the difference in company contribution margin is $450,000.
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