# . Maximizing Profit A community bird-watching societymakes and sells simple bird feeders to raise money for itsconservation 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 dollarincrease, it will lose 2 sales per week.(a) Find a function that models weekly profit in terms ofprice per feeder.(b) What price should the society charge for each feederto maximize profits? What is the maximum weeklyprofit?

Question

. 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.
(a) Find a function that models weekly profit in terms of
price per feeder.
(b) What price should the society charge for each feeder
to maximize profits? What is the maximum weekly
profit?