Question

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

Find the cost function

Answer 1

C(x) = 0.2x^2 - 60x + n,
0.2*100^2 - 60*100 + n = 4350
2000 - 6000 + n =
4350
n = 8350