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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.

User Vinuthan
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1 Answer

2 votes

Answer:

63568 dollars

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<0

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

User FlashMark
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