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Homework answers / question archive / 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

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

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) = 

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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