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

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