A store has been selling a popular computer game at the price of $40 per unit, and at this price, players have been buying 50 units per month. The owner of the store wishes to raise the price of the game and estimates that for each $1 increase in price, 3 fewer units will be sold each month. If each unit costs the store $25, at what price should the game be sold to maximize profit?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.7: Piecewise And Step Functions
Problem 30PPS
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A store has been selling a popular computer game at the price of $40 per unit, and at this price, players have
been buying 50 units per month. The owner of the store wishes to raise the price of the game and estimates
that for each $1 increase in price, 3 fewer units will be sold each month. If each unit costs the store $25, at
what price should the game be sold to maximize profit?
Transcribed Image Text:A store has been selling a popular computer game at the price of $40 per unit, and at this price, players have been buying 50 units per month. The owner of the store wishes to raise the price of the game and estimates that for each $1 increase in price, 3 fewer units will be sold each month. If each unit costs the store $25, at what price should the game be sold to maximize profit?
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