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nordsb [41]
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.
Mathematics
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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