A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each month. The quadratic function R(x)=−x2+100x is used to find the revenue, R, received when the selling price of a backpack is x. Find the selling price that will give her the maximum revenue, and then find the amount of the maximum revenue.
A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each month. The quadratic function R(x)=−x2+100x is used to find the revenue, R, received when the selling price of a backpack is x. Find the selling price that will give her the maximum revenue, and then find the amount of the maximum revenue.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.4: Slope-intercept Form
Problem 73PFA
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A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each month. The quadratic function R(x)=−x2+100x is used to find the revenue, R, received when the selling price of a backpack is x. Find the selling price that will give her the maximum revenue, and then find the amount of the maximum revenue.
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