5. A watch company has done research and learned that 1,000 people will buy a watch if the company charges $60 each, and that for every $5 the price decreases, 500 more
people will buy the watch.
a. Write a revenue function for the company. What is their maximum revenue? What
should the price be per watch to maximize their revenue?
b. Suppose that the cost function for the company is C(x)=15x+1675. What is their
maximum profit? How many watches would need to be sold? What is the price
per watch to earn that profit?