A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $4, and the society sells an average of 28 per week at a price of $8 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.) P(x) (b) What price should the society charge for each feeder to maximize profits? $ What is the maximum weekly 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 $4, and the society sells an average of 28 per week at a price of $8 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.) P(x) (b) What price should the society charge for each feeder to maximize profits? $ What is the maximum weekly profit?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $4, and the society sells an average of 28 per
week at a price of $8 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.)
P(x)
(b) What price should the society charge for each feeder to maximize profits?
$
What is the maximum weekly profit?
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