Question

Find a marginal Profit function if cost and revenue are given by c(x)=240+0.3x and r(x)=8x-0.06x^2

Answer 1

Answer:

  p'(x) = -0.12x +7.7

Step-by-step explanation:

Profit is the difference between revenue and cost:

  p(x) = r(x) -c(x)

  p(x) = (-0.06x^2 +8x) -(0.3x +240) = -0.06x^2 +7.7x -240

Marginal profit is the derivative of this function:

  p'(x) = -0.12x +7.7