SOLUTION: Suppose a company total cost and total revenue for product is: C(x)=15,000+35x+0.1x^2 R(x)= 285x-0.9x^2 1. Find the profit function and simplify the result Is it R=C to get

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Suppose a company total cost and total revenue for product is: C(x)=15,000+35x+0.1x^2 R(x)= 285x-0.9x^2 1. Find the profit function and simplify the result Is it R=C to get       Log On


   



Question 902189: Suppose a company total cost and total revenue for product is:
C(x)=15,000+35x+0.1x^2
R(x)= 285x-0.9x^2
1. Find the profit function and simplify the result
Is it R=C to get the profit? So do i put the equation like 285x-0.9x^2=15000+35x+0.1x^2 in order to solve this?
Thanks

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
P = R - C
P = -x^2 + 250x - 15000
P = -(x - 125)^2 + 15625 - 15000
P = -(x - 125)^2 + 625 Parabola opening downward
Profit maxes at 625, when x = 125