SOLUTION: Find the maximum profit if the revenue and cost functions are given by the following equations: R = 220x - x² and C = 60x +3000.

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Question 1111261: Find the maximum profit if the revenue and cost functions are given by the following equations:
R = 220x - x² and C = 60x +3000.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Profit is R-C

-x%5E2%2B220x-60x-3000
-x%5E2%2B160x-3000

Maximum will be at exact middle of the two roots.

roots %28-160%2B-+sqrt%28160%5E2-4%28-1%29%28-3000%29%29%29%2F%28-2%29

%28-160%2B-+sqrt%28160%5E2-12000%29%29%2F%28-2%29

%28-160%2B-+sqrt%2813600%29%29%2F%28-2%29

%28-160%2B-+sqrt%284%2A34%2A10%2A10%29%29%2F%28-2%29

%28-160%2B-+20%2Asqrt%2834%29%2F%28-2%29

80%2B-+10%2Asqrt%2834%29

Exact middle of these is at highlight_green%28x=80%29.
-x%5E2%2B160x-3000
-6400%2B160%2A80-3000
highlight%283400%29---------maximum profit