The profits of a small company are related to the price of its only product. The relation is where R is the income in thousands R(p) = -0.4p^2 + 64p - 1400, of dollars and p is the price of the product in dollars. What price would maximize income?
2. A projectile is fired from the roof of a building. Its height h, in meters, above the ground, after t seconds, is given by the function h(t) = -5t^2 + 20t + 30.
a. What is the maximum height reached by the projectile?
b. How long did it take to reach the maximum height?