Last year, X Company sold 67,500 units of its only product for $17.00 each. Total costs were as follows:
Cost of goods sold | |
Variable | $433,350 |
Fixed | 125,550 |
Selling and administrative | |
Variable | $97,200 |
Fixed | 78,300 |
At the end of the year, a company offered to buy 4,000 units of the
product but only for $11.00 each. X Company had the capacity to
produce the additional units, and even though there would have been
no additional selling and administrative costs, it rejected the
offer.
5. If X Company had accepted the special order, firm profits would
have increased by
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6. X Company's production manager thought that the special order units might have required additional direct material and direct labor costs per unit of $0.77 and $0.27, respectively, and the rental of special equipment for $2,000. The combined effect of these changes would have been to reduce the special order profit by
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7. X Company's marketing manager felt that in order for regular sales to continue at 67,500 units this year, the company would have had to reduce the regular selling price this year to $16.68. The result of this price reduction would have been to reduce X Company's profits this year by
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Per unit | ||
Sales (67,500*$17) | $1,147,500 | $17 |
Variable cost of goods sold | $433,350 | $6.42 |
Variable selling and administrative expenses | $97,200 | $1.44 |
Contribution margin | $616,950 | $9.14 |
Fixed cost of goods sold | $125,550 | |
Fixed selling and administrative expenses | $78,300 | |
Net income | $413,100 |
5. Relevant costs are variable cost of goods sold.
Increase in profit = ($11 - $6.42) * 4,000 = $18,320
6. Relevant costs = Variable cost of goods sold + Additional costs + Special equipment
= ($6.42 + $0.77 + $0.27) * 4,000 + $2,000
= $31,840
Profit from special order = 4,000 * $11 = $44,000
Profit = $44,000 - $31,840
= $12,160
Reduction in profit = $18,320 - $12,160
= $6,160
7.
Per unit | ||
Sales (67,500*$17) | $1,125,900 | $16.68 |
Variable cost of goods sold | $433,350 | $6.42 |
Variable selling and administrative expenses | $97,200 | $1.44 |
Contribution margin | $595,350 | $8.82 |
Fixed cost of goods sold | $125,550 | |
Fixed selling and administrative expenses | $78,300 | |
Net income | $391,500 |
Reduction in profit = $413,100 - $391,500
= $21,600
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