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
[tex]C(x) = 4x^2 + 4x - 80[/tex]
where x is the number of computers sold.
Revenue = sales price *no of computers sold
= 1012x
Profit = Revenue - cost
= [tex]1012x-( 4x^2 + 4x - 80)\\= 1008x-4x^2+80\\[/tex]
Use derivative test to find maximum profit
[tex]C'(x) = 1008-8x \\C''(x)= -x<0[/tex]
Equate I derivative to 0
x= 128
i.e. if 128 computers are manufactured and sold profit wouldbemaximum
Profit maximum=[tex]1008(128)-4(128)^2+80\\=63568[/tex]
