11. A small independent motion picture company determines the profit P for producing n DVD copies of a recent release is P = -0.02n2 + 3.40n - 16, where P is the profit in thousands of
dollars and n is in thousands of units.
a. How many DVDs should the company produce to maximize the profit?
b. What will the maximum profit be?
12. A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after
exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)=
-16x² +64x+80. What is the maximum height of the rocket?