A fence is to be built to enclose a rectangular play area for your instructor's two dogs Zack & Cody alongside the wall of their house. The wall of the house bounds one side. Suppose you plan to enclose an 800 ft“ area. Determine the dimensions of the play area that will minimize the amount of fencing needed to enclose 800 ft². (a) Please sketch a picture illustrating this. (b) What is the Objective function? What is its domain? (c) Please finish the problem, finding the dimensions as asked. (d) How do you know this minimizes the amount of fencing needed?

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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A fence is to be built to enclose a rectangular play area for your instructor's two dogs Zack &
Cody alongside the wall of their house. The wall of the house bounds one side. Suppose you
plan to enclose an 800 ft“ area. Determine the dimensions of the play area that will minimize
the amount of fencing needed to enclose 800 ft².
(a)
Please sketch a picture illustrating this.
(b)
What is the Objective function? What is its domain?
(c)
Please finish the problem, finding the dimensions as asked.
(d)
How do you know this minimizes the amount of fencing needed?
Transcribed Image Text:A fence is to be built to enclose a rectangular play area for your instructor's two dogs Zack & Cody alongside the wall of their house. The wall of the house bounds one side. Suppose you plan to enclose an 800 ft“ area. Determine the dimensions of the play area that will minimize the amount of fencing needed to enclose 800 ft². (a) Please sketch a picture illustrating this. (b) What is the Objective function? What is its domain? (c) Please finish the problem, finding the dimensions as asked. (d) How do you know this minimizes the amount of fencing needed?
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