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3 years ago

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

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

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

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