Let C(p) denote the cost of producing a book with p pages. Suppose that each page added to a book increases its production cost by $0.04 and that a 100 page book costs $6 to produce. Find a formula for C(p).
C(p) = .04p + F where F is the fixed cost [ the cost we incur no matter how many pages are produced ]......so we have
6.00 = .04(100) + F simplify
6.00 = .40 + F subtract ,40 from each side
5.60 = F so.....the fixed cost per book = $5.60 and the general formula for the cost to produce each book is given by :
C(p) = .04p + 5.60