Profit function

Question

The statistician of a certain toy manufacturer has formulated the following (monthly) revenue and cost functions: R(x) = 25.8x and C(x) = 0.0015x^2 + 7.05x + 4500. Based on his models and the assumption that the business can be modeled using a quadratic function, determine the Profit function and the number of toys that must be produced to maximize profits and find the profit.

Answer 1

wood help if yu sed R=$ take in

& C=kost

then Profit=$take in -kost

profit=25.8x -(0.0015x^2 +7.05x +4500)

=-0.0015x^2 +18.75x -4500

dy/dx=-.003x +18.75

tu get horizontal tangent, set dy/dx=0...0.003x=18.75

x=6,250

Answer 2

C=2000x+26000

R=4000x