A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $5, and the society sells an average of 28 per week at a price of $9 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses 2 sales per week.

(a) Find a function that models weekly profit in terms of price per feeder. (Let x represent the price per feeder and P represent the profit.)

(b) What price should the society charge for each feeder to maximize profits?

(c) What is the maximum weekly profit?

Answer rating: 100% (QA)

a To model the weekly profit in terms of the price per feeder x we need to consider the cost of mate... View the full answer