1. Suppose that N(x) = x denotes the number of bags sold by a shop, and the selling price per bag is given by p(x) = 320 - 8x, for 0≤x≤ 10. Suppose further that the cost of producing x bags is given by C(x) = 200x.
Find (a) (N-p)(x) and (b) (N-p-C)(x). What do these functions represent?
2. Let x represent the regular price of a book. a) Give a function f that represents the price of the book if a P100 price reduction applies. b) Give a function g that represents the price of the book if a 10% discount applies. c) Compute (f g)(x) and (g f)(x).
Describe what these mean. Which of these give a better deal for the customer?
