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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?

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?

Calculus: Early Transcendentals
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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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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