Precalculus Section 2.4 Use polynomials to find maximum and minimum values Example 1 page 69 Area = length x width A(x) = (60 – 2x)(x) A(x) = 60x - 2x² A(x) = - 2x² + 60x

To solve a max/min problem 1. Write a function that describes the quantity that is to a max or min. 2. Find the max or min value of the function x = -b/2a Example 10 page 72 h(t) = t – 5t²

You sell hot dogs at a concession stand for $1.50 each. At this price, 400 people will buy one. Every time you raise the price by $.10, you will lose 20 customers. How much should you charge for each hot dog to maximize your income?

An open box is to be formed by cutting squares from the rectangular sheet of metal 10 cm by 20 cm and then folding up the sides. Find the dimensions of the box that will have a maximum possible volume. What is the maximum volume?

Assignment page 71 problems 1 – 4, 9,11,12 page 73 problems 2,5, 6 e.c.