. 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?
. 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?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 66E
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. 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?
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