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wd 7 refer to the following information Last year, X Company sold 66,900 units of 200 units of its only product for $19.00 ea
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Solution

X Company

5 – Answer F

Determination of increase in profits if the firm accepts the special order:

Special order price = $12

Direct costs –

Variable cost of goods sold = $460,941/66,900 units = $6.89 per unit

Since no selling and administration costs are incurred on the special order, contribution margin on special order is as follows,

Contribution margin = $12 - $6.89 = $5.11

Special order units = 4,730

Increase in profits = increase in contribution margin = 4,730 x $5.11 = $24,170

6 – Determination of the combined effect of these changes:

Answer – Option E - $5,966

Computations:

Relevant costs for special order:

Cost of goods sold (per unit) = 460,941/66,900 = $6.89

Add: additional direct material cost per unit = $0.83

Add: additional direct labor cost per unit = $0.22

Total direct cost per unit = $7.94

Total direct cost for 4,730 units = $7.94 x 4,730 = $37,556

Add: rental of special equipment = $1,000

Total cost for special order = $38,556

Sale value = $12 x 4,730 = $56,760

net income = 56,760 – 38,556 = $18,204

net income without the changes = 24,170

Decrease in net income = 24,170 – 18,204 = $5,966

7 – determination of the result in price reduction:

Answer – Option C - $20,739

Computations:

Reduction in selling price per unit to $18.69

Sales value = $18.69 x 66,900 = $1,250,361

Less: cost of goods sold

Variable $460,941

Fixed $131,124

Total cost of goods sold $592,065

Margin = $658,296

Less: selling and administration expenses

Variable $71,583

Fixed $84,963

Total $156,546

Net income = 501,750

Original profit computation:

Sales value = $19 x 66,900 = $1,271,100

Less: cost of goods sold

Variable $460,941

Fixed $131,124

Total cost of goods sold $592,065

Gross Margin = $679,035

Less: selling and administration expenses

Variable $71,583

Fixed $84,963

Total $156,546

Net income = 522,489

Reduction in profits = original net income – net income after reduction of selling price

= 522,489 – 501,750 = $20,739

8 – Determination of X company’s new profits after dropping Product A:

Answer – Option C - $16,092

Computations:

Profit of Product B $12,248

Less: unavoidable costs of product A $28,340

Loss on discontinuation of Product A = 12, 248 – 28,340 = ($16,092)

Product A earns contribution margin of $34,204

Which absorbs avoidable fixed costs to the extent of $25,240

And the unavoidable fixed costs –

= 34,204 – 25,240 = $8,964

If product A is discontinued the entire burden of unavoidable fixed costs are borne by Product B. Hence, the overall profits are reduced to result in a loss of $16,092

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