A company's marginal cost (in dollars) is given by the function —x2 the total cost of producing 80 iterns, disregarding fixed costs, For the answer in the forrn of the 1, do not simplify and write it as a/b

Math Dec 02, 2020

A company's marginal cost (in dollars) is given by the function —x2 the total cost of producing 80 iterns, disregarding fixed costs, For the answer in the forrn of the 1, do not simplify and write it as a/b. C(80) =

Expert Solution

dc/dx = -(-x^2 +3x +3)

upon integrating, we get

C = -(-(x^3)/3 + (3x^2)/2 +3x +c)

When disregarding fixed costs, c becomes zero

At x = 80,

C(80) = -(-512000/3 + 6400*3/2 + 240)

= 482480/3

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