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Alenkasestr [34]
3 years ago
11

The manager of Calypso, Inc. is considering raising its current price of $30 per unit by 10%. If she does so, she estimates that

demand will decrease by 20,000 units per month. Calypso currently sells 50,000 units per month, each of which costs $25 in variable costs. Fixed costs are $180,000. Assume the manager does not know how much demand will drop if the price increases. By how much would demand have to drop before the manager would not want to implement the price increase?
Business
1 answer:
g100num [7]3 years ago
3 0

Answer:

Demand would have to drop by 27,500 units and above

Explanation:

<em>With a proposed increase in price of 10%, Calypso would like break-even, that to ensure that its total revenue covers its total fixed costs. . This would mean the minimum quantity should be that which will produce a total contribution that  covers the total fixed cost. And would produce a profit of zero.</em>

<em>New selling price after  10% Increase  = 110% × $30 =</em><em> $33</em>

Minimum quantity = Total fixed / contribution per unit

<em>Contribution per unit = selling price - variable cost per unit</em>

                                 = $33 - $25

                                  = $8 per unit

<em>Minimum quantity = Total fixed cost/contribution per unit</em>

                              = 180,000/ 8

                            =  22,500 units

<em>The decrease in demand = Current quantity - minimum quantity</em>

                                = 50,000 - 22,500

                                =  27,500 units

Demand would have to drop by 27,500 units and above

                             

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Answer:

<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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