An open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from each corner of the cardboard and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
Question
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An open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from each corner of the
cardboard and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the
maximum volume?
Transcribed Image Text:An open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from each corner of the cardboard and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?
Owners of a bike rental company that charges customers between $10 and $30 per day have determined that the number
of bikes rented per day n can be modeled by the linear function n(p) = 300 – 10p, where p is the daily rental charge.
How much should the company charge each customer per day to maximize revenue? Do not include units or a dollar sign in
your answer.
Transcribed Image Text:Owners of a bike rental company that charges customers between $10 and $30 per day have determined that the number of bikes rented per day n can be modeled by the linear function n(p) = 300 – 10p, where p is the daily rental charge. How much should the company charge each customer per day to maximize revenue? Do not include units or a dollar sign in your answer.
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