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tiny-mole [99]
3 years ago
6

Vintage Weaponry is owned and operated by a craftsman who makes replicas of historic firearms for​ museums, sportsmen, and colle

ctors. He is currently producing 40 flintlock muskets per month. Data are as​ follows: Sales price per unit $ 900 Variable cost per unit 700 Fixed costs per month 4 comma 800 If Vintage expects to sell 60 units per​ month, how much is his margin of safety expressed in sales​ revenue?
Business
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

Margin of safety= $32,181.82

Explanation:

Giving the following information:

Sales price per unit $900

Variable cost per unit $700

Fixed costs per month $4,800

Vintage expects to sell 60 units per​ month

First, we need to calculate the break-even point in dollars:

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

Break-even point (dollars)= 4,800 / [(900 - 700) / 900]

Break-even point (dollars)= 4,800/0.22

Break-even point (dollars)=$21,818.18

Now, we can calculate the margin of safety in dollars:

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

Margin of safety= (60*900) - 21,818.18

Margin of safety= 54,000 - 21,818.18

Margin of safety= $32,181.82

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A manufacturer estimates that its product can be produced at a total cost of C(x) = 50,000 + 100x + x3 dollars. If the manufactu
timofeeve [1]

Answer:

The level of production x that will maximize the profit is: 22,966

Explanation:

C(x) = 50,000 + 100x + x³

R(x) = 3400x

P(x) = R(x) - C(x)

      = 3400x - [50,000 + 100x + x³]

      = 3400x - 50,000 - 100x - x³

      = 3300x - 50,000 - x³   .................... (A)

P'(x) = 3300(1) - 0 - 3x²

       = 3300 - 3x²

At a critical point, P'(x) = 0

∴   0 = 3300 - 3x²

  3x² = 3300

    x² = 1100

     x = ± \sqrt{1100}

P"(x) = -6x

P(\sqrt{1100}) = -6 (\sqrt{1100})   < 0

by second derivative, 'P' max at    x = \sqrt{1100} = 33.17 (rounds)

since x =  \sqrt{1100} ,

recall that P(x) = 3300x - 50,000 - x³ from equation (A)

Therefore, Maximum Profit

P(\sqrt{1100}) = 3300\sqrt{1100} - 50000 - \sqrt{1100} ^{3}

              = 3300(33.17) - 50,000 - 33.17³

              = 109461 -50,000 - 36495.26

              = 22,965.74

Maximum profit is 22,966 to the nearest whole number

5 0
3 years ago
What would you do if you can stop time
Arlecino [84]

Answer:

Tbh if I could stop the time

I would do anything to get the time back to normal since it will probably  be boring doing it yourself with no help if you know what I mean :)

Explanation:

Hoped this helped :)

5 0
3 years ago
Read 2 more answers
Ramirez Corporation sells two types of computer hard drives. The sales mix in terms of units is 30% (Q-Drive) and 70% (Q-Drive P
Citrus2011 [14]

Answer:

The weighted average unit contribution is $81  per unit.

Explanation:

The contribution per unit is the amount each unit contributes to covering the fixed costs. It is calculated by deducting the variable cost per unit from the selling price per unit.

The weighted average unit contribution is used when there are more than one product that a company produces and is used in calculating the overall or composite break even point. The weighted average unit contribution is the overall unit contribution for all of the products of the company according to their weights in the sales mix.

For a company that produces two products,

Weighted average unit contribution = Contribution per unit of Product A * Weight of Product A in sales mix + Contribution per unit of Product B * Weight of Product B is sales mix

Weighted average unit contribution = (150 - 90) * 0.3  +  (195 - 105) * 0.7

Weighted average unit contribution = $81 per unit

6 0
3 years ago
Security is a financial instrument backed by assets. They give the holder an interest or right in something else. A regulation u
Ksivusya [100]

Answer:

c. a resort condominium project in which owners enter their units in a common rental pool to enhance their income

Explanation:

As provided, the company here aggregates funds to acquire property and then earn rental income. The company can be a combination of many individuals or firms or any other form. But since it is earning an assured income in the form of rentals, it can be categorized as security.

Accordingly if it is a security, the security laws will be applicable on them.

Option a and b do not provide so, as they do not form a security, as in case a there is no definite income attached. In case b there are losses also attached, as it is for residential and retail in the same volume, making it loose its commercial substance.

7 0
3 years ago
Using the allowance method, is bad debt expense recognized in
mezya [45]

Using the allowance method, is bad debt expense recognized in the period in which sales related to the uncollectible account are made.

One of the most typical types of bad debt is credit card debt. Lenders issue credit cards, which let you make purchases on credit. These credit cards frequently have exorbitant interest rates that can soon become out of control.

Bad debt costs are typically listed on the income statement as a sales and general administrative expenditure. Accounts receivable on the balance sheet are reduced when bad debts are recognized, but firms still have the right to collect money if the situation changes.

Learn more about bad debts here

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3 0
2 years ago
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