Thread: business cal

i am at a road block with this problem and really need help plz

A company manufactures and sells x air conditoners per month. the monthly cost and price-demand equations are
C(x) = 180x + 20,000
p = 220-0.001x 0<x<100,000

how many air conditioners should the company manufacture each month to maximize its monthly profit??

Originally Posted by almiller08

i am at a road block with this problem and really need help plz

A company manufactures and sells x air conditoners per month. the monthly cost and price-demand equations are
C(x) = 180x + 20,000
p = 220-0.001x 0<x<100,000

how many air conditioners should the company manufacture each month to maximize its monthly profit??

Profit is revenue minus costs so:



Which you maximise by taking its derivative with respect to , setting that to zero and solving for (the sales at which profit is a maximum).

CB