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nordsb [41]
4 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.
Mathematics
1 answer:
ella [17]4 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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Find the interest for $13,500 at 4.5% for 6 years
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Ms. Lang lives in​ Lansing, Michigan. Last​ year, she made 4 round trips to​ Chicago, Illinois​ (a distance of 218 miles each​ w
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Answer:

1312 miles

Step-by-step explanation:

To solve this, we simply need to subtract the distance she traveled in her trips to Chicago from the distance she traveled in her trips to Louisville.

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4 0
3 years ago
Four students are running for class president: liz, sam, sue, and tom. the probabilities of sam, sue, and tom winning are 7⁄25 ,
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First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate. 

Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.

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Tom is already in the fraction we like, so just keep this as 21/100. 

Now, add 28/100, 30/100 and 21/100 to get 79/100. 

Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100? 

Another way of going about this is 100/100-79/100. The answer is 21/100

The probability of Liz winning is 21/100. 

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Study the example shown below.
Murrr4er [49]

Answer:

x-5

Step-by-step explanation:

4 0
3 years ago
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