# Answer to Question #3968 in Integral Calculus for mike vella

Question #3968

Given the marginal cost function C'(x)= 0.4x-60 and that the cost of producing 100 items is $4350

Find the cost function

Find the cost function

Expert's answer

C(x) = 0.2x^2 - 60x + n,

0.2*100^2 - 60*100 + n = 4350

2000 - 6000 + n =

4350

n = 8350

0.2*100^2 - 60*100 + n = 4350

2000 - 6000 + n =

4350

n = 8350

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