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ybusinesscourse.com/platform/mod/quiz/attempt.php?attempt-1811768page-3 E Menu QUESTION 4 Not completePoints out of 400 Flag question CVP Analysis and Special Decisions Smoot hie Citrus Company buys a variety of citrus fruit from growers and then processes the fruit into a product line of fresh fruit. juices, and fruit flavorings. The most recent year's sales revenue was $4,400,000. Variable costs were 60 percent of sales and fixed costs totaled $1.400,000. Smoothie is evaluating two alternatives designed to enhance profitability One staff member has proposed that Smoothie purchase more automated processing equipment. This strategy would increase fixed costs by $300.000 but decrease variable costs to 54 percent of sales. . Another staff member has suggested that Smoothie rely more on outsourcing for fruit processing This would reduce fixed costs by $300.000 but increase variable costs to 65 percent of sales. Round your answers to the nearest whole number (a) What is the current break-even point in sales dollars? s 0 (b) Assuming an income tax rate of 34 percent, what dollar sales volume is currently required to obtain an after-tax profit of $500,000? $ 0 (c) In the absence of income taxes, at what sales volume will both alternatives (automation and outsourcing) provide the same profit? $ 0 (d) Briefly describe one strength and one weakness of both the automation and the outsourcing alternatives

Explanation / Answer

Answers

Current

Alternative 1

Alternative 2

A

Sales Revenue

$           44,00,000.00

$           44,00,000.00

$           44,00,000.00

B

Variable cost

$           26,40,000.00

$           23,76,000.00

$           28,60,000.00

C=A-B

Contribution margin

$           17,60,000.00

$           20,24,000.00

$           15,40,000.00

D

Fixed Cost

$           14,00,000.00

$           17,00,000.00

$           11,00,000.00

E=C-D

Net Income

$            3,60,000.00

$              3,24,000.00

$             4,40,000.00

F=C/A

Contribution margin ratio

40%

46%

35%

G=D/F

Break Even Point in Sales dollars

$           35,00,000.00

$           36,95,652.17

$           31,42,857.14

Current break Even point in sales dollars = $3,500,000 [solved above]

A

After tax profit

$             5,00,000.00

B

Tax Rate

34%

C=A/(100-B)

Before tax profit

$             7,57,576.00

D

Fixed Cost

$           14,00,000.00

E=C+D

Total contribution required

$           21,57,576.00

F

Contribution margin ratio

40%

G=E/F

Sales dollar required to earn target after tax profits

$           53,93,940.00

Let the sales volume under both alternative be ‘x’, then

x - 0.54x - 1700000 = x - 0.65x - 1100000

0.46x = 0.35x +1700000 - 1100000

0.46x - 0.35x = 600000

0.11x = 600000

x = 600000 / 0.11

x = 5454545

Hence, the sales volume at which both alternative would provide same profit = $5,454,545

4th Option is correct.

Current

Alternative 1

Alternative 2

A

Sales Revenue

$           44,00,000.00

$           44,00,000.00

$           44,00,000.00

B

Variable cost

$           26,40,000.00

$           23,76,000.00

$           28,60,000.00

C=A-B

Contribution margin

$           17,60,000.00

$           20,24,000.00

$           15,40,000.00

D

Fixed Cost

$           14,00,000.00

$           17,00,000.00

$           11,00,000.00

E=C-D

Net Income

$            3,60,000.00

$              3,24,000.00

$             4,40,000.00

F=C/A

Contribution margin ratio

40%

46%

35%

G=D/F

Break Even Point in Sales dollars

$           35,00,000.00

$           36,95,652.17

$           31,42,857.14

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