Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you begin, you must create a block of ice with the following strict requirements: 1. The volume must be 18 ft3. 2. The length of the base must be three times the size of the width of the base. 3. The long side of the base cannot be more than 12 ft long. 4. The short side of the base must be at least 1 foot long. (There are no constraints of the height of the block.)

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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Optimization:

You and your classmates have decided to enter an ice sculpting contest. Before you begin, you must create a block of ice with the following strict requirements:

1. The volume must be 18 ft3.

2. The length of the base must be three times the size of the width of the base.

3. The long side of the base cannot be more than 12 ft long.

4. The short side of the base must be at least 1 foot long. (There are no constraints of the height of the block.)

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