A car rental agency rents

420

cars per day at a rate of

​$20

per day. For each

​$1

increase in​ rate,

10

fewer cars are rented. At what rate should the cars be rented to produce the maximum​ income? What is the maximum​ income?

Range of a Projectile If a projectile is fired with velocity at an angle$\mathrm{\text{θ}}$, then the maximum height it reaches (in ft) is modeled by the function

Suppose

At what angle u should the projectile be fired so that the maximum height it reaches is ?

Maximizing Profit A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $6, and the society sells an average of 20 per week at a price of $10 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it will lose 2 sales per week.
What price should the society charge for each feeder to maximize profits? What is the maximum weekly
profit?

Revenue: A manufacturer finds that the revenue generated by selling units of a certain commodity is given by the function , where the revenue is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?