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/ID #: From the price and cost assumptions in 5(a) and the additional information listec below, complete the chart and identify what sales volume is required to provide an after-tax profit of $14,300 (Points 10): b) - The company renegotiated their lease with their landlord and decreased fixed costs by $15,000. Variable costs increased by $1.00 as a result of a price increase from a major supplier - As a result of the supplier cost increase, the company raised their unit selling price by $5.00
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  • All working forms part of the answer
  • Workings for calculating updated value:

A

After Tax Profits

$                                   14,300.00

B

Tax Rate

35%

C = A/(100% - B)

Before tax profits

$                                   22,000.00

A

Current Fixed cost

$                                   83,000.00

B

Decrease in Fixed cost

$                                   15,000.00

C = A - B

New Fixed Cost

$                                   68,000.00

A

Current Variable cost per unit

$                                           14.00

B

Increase in Variable cost

$                                              1.00

C =A+B

New Variable cost per unit

$                                           15.00

A

Current Selling Price

$                                           30.00

B

Increase in Selling price

$                                              5.00

C = A+B

New Selling price

$                                           35.00

  • Calculation of units required to earn $ 14,300 of after tax profits

A

New Contribution margin per unit

$                                           20.00

B

New Fixed Cost

$                                   68,000.00

C

Before tax Profit required

$                                   22,000.00

D = B+C

Total Contribution margin required

$                                   90,000.00

E = D/A

Units of volume required as sale for earning after tax profits of $ 14,300

                                               4,500

  • Verification that 4,500 units will earn $ 14,300 after tax profits

Units

per unit

Amount

Sales

4500

$                   35.00

$      157,500.00

Total variable cost

4500

$                   15.00

$        67,500.00

Contribution margin

4500

$                   20.00

$        90,000.00

Total Fixed cost

$        68,000.00

Net Income before Income Taxes

$        22,000.00

Income Tax expenses

$          7,700.00

Net Income

$        14,300.00

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