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777dan777 [17]
4 years ago
15

Ajax Company presently leases a copy machine on a monthly basis. The lease agreement requires a fixed fee each month in addition

to a charge per copy. The Company made 2,400 copies and paid a total of $162 in lease payments in September. In October they made 3,500 copies and paid a total of $195 in lease payments. Using these two data points and the high-low method, determine the Company’s variable cost per copy.
Business
1 answer:
DedPeter [7]4 years ago
5 0

Answer:

Variable cost per copy =$ 0.03  

Explanation:

The high and low techniques helps to analyse a cost into its variable and fixed cost component.

The  formula is given below:\

Variable cost per copy = (cost at high act. - cost at low act)/(high act - low act)

Fixed cost = cost at high activity - (Vc/copy × high act)

VC per copy = ( 195 - 162)/(3500-2400) copies

                  =$ 0.03  per copy

Total fixed cost = 195 - (0.03× 3500)

                          = 195 - 105

                          =$90

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Vlad [161]

Answer:

The correct answer is letter "C": Spreading risk by investing your money in a variety of funds and investment options.

Explanation:

Portfolios are <em>pools of different assets that aim lowering the risk inherent in investments</em>. Portfolios tend to be managed by professional who work on behalf of investors an can provide suggestions on what assets to buy and sell according to the fluctuations of the market.

3 0
4 years ago
An oil refinery is located on the north bank of a straight river that is 3km wide. A pipeline is to be constructed from the refi
Mariulka [41]

Answer:

$6,598,076.21

Explanation:

<h2>THE KEY IS TO FIND OUT THE COST FUNCTION, the calculations are very easy!!!</h2><h2></h2><h3>In order to find the cost function, take a look at the drawing attached. </h3>

We can see the river (sort of) that is 3 km wide and the storage tanks on the other side of the river 8 km apart.

<h3 />

Laying pipes under (across) the river costs 1,000,000 the km & laying pipes over land costs 500,000 per km.

<h3 /><h3>So basically the cost function is 1,000,000 multiplied by something plus 500,000 multiplied by another something.</h3><h3 />

The distance across the river can be found by using Pythagoras Theorem. A side is 3 km the other is unknown, so we call it X. And it is equal to:

\sqrt{3^{2} +x^{2}}=\\\sqrt{9 +x^{2}}

And we multiply it by 1,000,000; the cost of laying pipe under the river, the we get:

1000000\sqrt{9+x^{2}

The distance over the land is (8-x), as we can see in the drawing. So we multiply it by its cost, 500,000. And we get 500,000(8-x).

So the cost function f(x) would be:

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)

<h2>From here, we just have to differentiate and the derivative found must be equal to zero in order to minimize cost. </h2><h3>The value of x when the derivative is zero is plugged in the original function to get the cost.</h3><h3 /><h2>LET'S DO THIS</h2>

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(x)=1000000(9+x^{2})^{1/2}+4000000-500000x\\f'(x)=\frac{1}{2} 1000000(9+x^{2})^{-1/2}(2x)-500000\\\\f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000

<h2>f'(x)=0</h2>

f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000=0\\\frac{1000000x}{\sqrt{9+x^2}}  = 500000\\\frac{2x}{\sqrt{9+x^2}}  = 1\\2x={\sqrt{9+x^2}}\\4x^2=9+x^2\\3x^2=9\\x^2=3\\x=\sqrt{3} \\

And we plug square root of 3 in the original cost function  ad we get

f(\sqrt{3} )=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(\sqrt{3})=1000000\sqrt{9+(\sqrt{3} )^{2}} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{9+3} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{12}+500000(6.27)\\f(\sqrt{3})=1000000(3.46)+500000(6.27)\\f(\sqrt{3})=3464101.62+3133974.60\\f(\sqrt{3})=6598076.21\\

<h2>so the minimal cost is $6,598,076.21</h2><h2 /><h3 />

6 0
4 years ago
Let’s suppose you would like to buy a home for $250,000. But like most U.S. citizens, you don’t have enough cash on hand to pay
noname [10]

Answer:

1. Calculate the monthly payment for a 30-year mortgage loan.

we can do this by using the present value of an annuity formula

the loan's interest rate is missing, so I looked for a similar question and found that it is 6%

present value = monthly payment x annuity factor

monthly payment = present value / annuity factor

  • present value = $200,000 (loan's principal)
  • PV annuity factor, 0.5%, 360 periods = 166.79161

monthly payment = $200,000 / 166.79161 = $1,199.101082 ≈ <u>$1,199.10</u>

2. Calculate the amount of interest that you’d pay for a 30-year mortgage loan.

total interests paid during the 30 years = (monthly payment x 360) - principal = ($1,199.10 x 360) - $200,000 = <u>$231,676</u>

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Answer:

D) public relations

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In this case, the coverage provided by newspapers and television is not advertisement, it is part of a public relations efforts designed to make the public aware of the channel's environmental approach.

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