Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.

Question

Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.

P′(x)= ________

Answer 1

Profit function P(x) = R(x) - C(x) = 5.2x - 224 - 0.05x².

Marginal profit P'(x) = 5.2 - 0.1x