1. A ball is thrown into the air from a height of 96 ft above the ground, and its height is given by S = 96 + 32t - 16t2, where t is the time in seconds.

(a) Find the values of t that make S = 0.

(b) Do both of the values of t have meaning for this application?

(c) When will the ball strike the ground?

2. The profit for a product is given by P(x) = 82x - 0.10x2 - 1600, where x is the number of units produced and sold. Break-even points will occur at values of x where P(x) = 0. How many units will give a break-even point for the product?