Production Cost Function

Question

The marginal cost for printing a paperback book at a small publishing company is

c(p) = $0.018 per page where p is the number of pages in the book

A 590 page book has a $20.60 production cost.

Find the production cost function C(p).

C(p) = ?

Answer 1

C(p) = 0.018p + K

C(590) = 0.018(590) + K = 20.60

K = 9.98

So, C(p) = 0.018p + 9.98

Marginal cost = C'(p) = c(p) = 0.018

Answer 2

c(p)=.018*590=20.6

(p)=590