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lara [203]
3 years ago
15

A company revealed the following figures: Sales revenue $2,240,000 Contribution margin $560,000 Net operating income $410,000 Ho

w much is the company's margin of safety in dollars
Business
1 answer:
Alexandra [31]3 years ago
3 0

Answer:

The company's margin of safety in dollars is $1,640,000 .

Explanation:

Margin of Safety is the amount in units or dollars by which sales may fall before a Company starts making a loss.

The first step is to calculate break even point  in dollar sales.

Break even point  in  dollar sales = Fixed Costs / Contribution Margin Ratio

Where,

Fixed Costs = Contribution margin - Operating Income

                    = $560,000 - $410,000

                    = $150,000

Contribution Margin Ratio = Contribution margin ÷ Sales revenue

                                           = $560,000 ÷ $2,240,000

                                           = 0.25

Thus,

Break even point  in  dollar sales = $150,000 / 0.25

                                                       = $600,000

Margin of Safety = Expect Sales - Break Even Sales

                            = $2,240,000 - $600,000

                            = $1,640,000

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Answer:

$797,837

Explanation:

the first withdrawal is $50,000

the second is $51,500

and so on...

the formula that used to solve the interest rate earned by the annuity is:

$50,000 x {[(1 + i)³⁰ - (1 + 3%)³⁰] / [(1 + i)³⁰ x (i - 3%)]} x (1 + i) = $5,000 x {[(1 + i)³⁰ - (1 + 3%)³⁰] / (i - 3%)}

we start to simplify the equation by cancelling  {[(1 + i)³⁰ - (1 + 3%)³⁰] / (i - 3%)}

[$50,000 x (1 + i)] / (1 + i)³⁰ = $5,000

now we cancel $5,000 on each side:

[10 x (1 + i)] / (1 + i)³⁰ = 1

now lets take away (1 + i):

10 / (1 + i)²⁹ = 1

things get a little bit more simple now:

10 = (1 + i)²⁹

²⁹√10 = ²⁹√(1 + i)²⁹

1.082636734 = 1 + i

i = 1.082636734 - 1 = 0.082636734 = 8.2636734%

now we replace i in any equation:

= $50,000 x {[(1 + 0.082636734)³⁰ - 1.03³⁰] / [(1 + 0.082636734)³⁰ x (0.082636734 - 0.03)]} x (1 + 0.082636734)

= $50,000 x  {[10.82636738 - 2.427262471] / [10.82636738 x 0.052636734]} x (1 + 0.082636734)

= $50,000 x  {8.399104909 / 0.56986462} x (1.082636734)

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= $797,837

8 0
3 years ago
Watunga County Bank agrees to lend Vaughn Granite Company $599000 on January 1. Vaughn Granite Company signs a $599000, 8%, 9-mo
tangare [24]

Answer:

DR Cash                             $599,000

CR Notes Payable                                $599,000

Explanation:

As this is the entry for the issuance of the note, interest will not be recorded as it is incurred as during the loan period.

Entry will be;

Date                  Details                                                 Debit                   Credit

Jan 1                  Cash                                                  599,000

                          Notes Payable                                                               599,000

5 0
3 years ago
Job A3B was ordered by a customer on September 25. During the month of September, Jaycee Corporation requisitioned $3,500 of dir
Norma-Jean [14]

Answer:

18,500 WIP balance at September 30th

Explanation:

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The cost added during October will be part of October calculation, on September we should work with September values.

4 0
3 years ago
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trapecia [35]

Answer:

The marginal revenue = $2

Explanation:

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For 100 boxes, we have 100 * 2 = $200

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Mathematically, the marginal revenue = (cost of 200 boxes- cost of 100 boxes)/difference in quantity

= (400-200)/(200-100) = 200/100 = $2

Thus affirms the fact that for a perfectly competitive firm, marginal revenue MR = P (price)

8 0
3 years ago
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jolli1 [7]

Answer:

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7 0
3 years ago
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