1. EQ: How are extreme values useful in problem solving situations?

2. Two numbers have a sum of 320. Find the numbers such that their product is as large as possible.

4. There are 320 yards of fencing available to enclose a rectangular field where one side is a barn. How should the fencing be used so that the enclosed area is as large as possible.

6. A box is to be made from a rectangular sheet of metal (20 x 24 in) by cutting squares from each corner. Determine the size of the square that will maximize the volume of the box. x x x x x x x x 20 24 20-2x 24-2x

8. What is the maximum possible volume of a cylindrical can with no top that can be made from 27  in 2 of metal?