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3 years ago

6

n your computer store you charge $1012 per computer sold. Your costs are given by the equation C(x) = 4x^2 + 4x - 80 where x is

the number of computers sold. Find the maximum profit.

1 answer:

ella [17]3 years ago

3 0

Answer:

63568 dollars

Step-by-step explanation:

Given that in your computer store you charge $1012 per computer sold. Your costs are given by the equation

$C(x) = 4x^2 + 4x - 80$

where x is the number of computers sold.

Revenue = sales price *no of computers sold

= 1012x

Profit = Revenue - cost

= $1012x-( 4x^2 + 4x - 80)\\= 1008x-4x^2+80\\$

Use derivative test to find maximum profit

$C'(x) = 1008-8x \\C''(x)= -x$

Equate I derivative to 0

x= 128

i.e. if 128 computers are manufactured and sold profit wouldbemaximum

Profit maximum= $1008(128)-4(128)^2+80\\=63568$

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The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fr

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3 years ago

A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= - to find how many

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Answer:

6.1 seconds

Step-by-step explanation:

<u><em>The correct question is</em></u>

A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= √h/4 to find how many seconds it takes for the package to reach the lifeboat. Round your answer to the nearest tenth of a second

we have

$t= \frac{\sqrt{h}}{4}$

substitute the value of h in the formula

$h=600\ ft$

$t= \frac{\sqrt{600}}{4}=6.1\ sec$

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3 years ago

Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p

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The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

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1st month sh. 100,000 sh. 1,000 sh. 10,000 sh. 91,000

2nd month sh. 91,000 sh. 910 sh. 10,000 sh. 81,910

3rd month sh. 81,910 sh.819 sh. 10,000 sh. 72,729

4th month sh. 72,729 sh. 727 sh. 10,000 sh. 63,456

5th month sh. 63,456 sh. 636 sh. 10,000 sh. 54,092

6th month sh. 54,092 sh. 541 sh. 10,000 sh. 44,633

7th month sh. 44,633 sh. 446 sh. 10,000 sh. 35,079

8th month sh. 35,079 sh. 351 sh. 10,000 sh. 25,430

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10th month sh. 15,684 sh. 157 sh. 10,000 sh. 5,841

11th month sh. 5,841 sh. 58 sh. 5,899 sh. 0

Total interest paid = sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

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2 years ago

Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and

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Answer:

Part a) Exactly values

The width of the rectangle is $\frac{\sqrt{70}}{2}\ cm$

The length of the rectangle is $2\sqrt{70}\ cm$

Part b) Approximately values

The width of the rectangle is $4.2\ cm$

The length of the rectangle is $16.7\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

$A=LW$

we have

$L=4x\ cm\\W=x\ cm$

substitute the values in the formula

$A=4x(x)$

$A=4x^2$

$A=70\ cm^2$

so

$70=4x^2$

Solve for x

Divide by 4 both sides

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square root both sides

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The solution is the positive value

$x=\frac{\sqrt{70}}{2}$

therefore

<em>Exactly values</em>

$L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm$

<em>Approximately values</em>

$L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm$

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3 years ago