Find the marginal profit function if cost and revenue are given by ​C(x)=269+0.8x and R(x)=2x-0.03x^2

Answer 1

C'(x) = .8

R'(x) = 2-.06x

P'(x) = R'(x) - C'(x) = 2-.06x -.8 = 1.2 - .06x =0

marginal profit function = P'(x) = 1.2 -.06x

.06x = 1.2

x = 1.2/.06 = 20 = profit maxizing out put level