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navik [9.2K]
3 years ago
15

In the month of June, Jose Hebert’s Beauty Salon gave 3,580 haircuts, shampoos, and permanents at an average price of $34. Durin

g the month, fixed costs were $16,920 and variable costs were 75% of sales. Determine the contribution margin in dollars, per unit and as a ratio. (Round contribution margin per unit and contribution margin ratio to 2 decimal places, e.g. $5.25 & 10.50%.) a. Contribution margin $ Contribution margin per unit $ Contribution margin ratio % LINK TO TEXT b. Using the contribution margin technique, compute the break-even point in dollars and in units. (Round answers to 0 decimal places, e.g. 1,225.) Break-even point $ Break-even point units LINK TO TEXT c. Compute the margin of safety in dollars and as a ratio. (Round answers to 0 decimal places, e.g. 1,225 & 25%.) Margin of safety $ Margin of safety ratio %.
Business
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

In June, Jose Hebert’s Beauty Salon gave 3,580 haircuts, shampoos, and permanents at an average price of $34. During the month, fixed costs were $16,920 and variable costs were 75% of sales.

Unitary variable cost= 34*0.75= 25.5 per haircut

Contribution margin= selling price - unitary variable cost= $8.5

Contribution margin ratio= CM/ selling price= 25%

Total contribution margin= 3,580*8.5= $30,430

Break-even point (units)= fixed costs/ contribution margin

Break-even point (units)= 16,920/8.5= 1991 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 16,920/0.25= $67,680

Margin of safety in units= 3,580 - 1,991= 1,589 units

Margin of safety in dollars= 121,720 - 67,680= $54,040

Margin of safety ratio= (current sales level - break-even point)/current sales level

Margin of safety ratio= 1,589/3,580= 0.444=44.4%

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<u><em>Part a </em></u>

<u>Belmain Co.</u>

<u>Estimated Income statement for the year ended 2017.</u>

Sales ($240 x 12,000)                                                               $2,880,000

<u>Less Variable Costs :</u>

Direct Materials ($50.00 x 12,000)                                           ($600,000)

Direct Labor ($30.00 x 12,000)                                                 ($360,000)

Factory Overheads ($6.00 x 12,000)                                          ($72,000)

Sales Salaries and Commissions ( $4.00 x 12,000)                  ($48,000)

Miscellaneous selling expenses ( $1.00 x 12,000)                     ($12,000)

Supplies ($4.00 x 12,000)                                                           ($48,000)

Miscellaneous administrative expenses ($1.00 x 12,000)         ($12,000)

Contribution                                                                               $1,728,000

<u>Less Fixed Expenses :</u>

Factory overhead                                                                     ($350,000)

Sales salaries and commissions                                             ($340,000)

Advertising                                                                                 ($116,000)

Travel                                                                                            ($4,000)

Miscellaneous selling expense                                                   ($2,300)

Office and officers’ salaries                                                    ($325,000)

Supplies                                                                                        ($6,000)

Miscellaneous administrative expense                                      ($8,700)

Net Income ( Loss)                                                                     $576,000

<u><em>Part b</em></u>

0.6 or 60 %

<u><em>Part c</em></u>

Break-even sales (units) = 8,000

Break-even sales (dollars) = $1,920,000

<u><em>Part d</em></u>

<em>See attachment </em>

<u><em>Part e</em></u>

Margin of safety in dollars  =    $960,000

Margin of safety in percentage  =  33.3 %

<em><u>Part f</u></em>

Operating Leverage = 3.00

Explanation:

<u>Income Statement :</u>

<em>Sales - Expenses = Income</em>

Note : I have separated Variable and Fixed Expenses

<u>Contribution Margin ratio :</u>

<em>Contribution Margin ratio = Contribution ÷ Sales</em>

                                          =  $1,728,000  ÷  $2,880,000

                                          = 0.6 or 60 %

<u>Break-even sales ( units and dollars) :</u>

<em>Break-even sales (units) = Fixed Costs ÷ Contribution per unit</em>

                                        = $1,152,000 ÷ $144.00

                                        = 8,000

<em>Break-even sales (dollars) = Fixed Costs ÷ Contribution margin ratio</em>

                                            = $1,152,000 ÷ 0.60

                                            = $1,920,000

<u>Margin of safety in dollars and as a percentage of sales :</u>

<u />

<em>Margin of safety in dollars  = Expected Sales (dollars) - Break-even sales (dollars)</em>

                                             =  $2,880,000 - $1,920,000

                                             =   $960,000

<em>Margin of safety in %       = (Expected Sales  - Break-even sales ) ÷ Expected Sales</em>

                                             = $960,000 ÷ $2,880,000

                                             = 33.3 %

<u>Operating leverage</u>

<em>Operating Leverage = Contribution ÷ Earnings Before Interest and Tax</em>

                                  =  $1,728,000 ÷ $576,000

                                  = 3.00

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