There are $320 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $15 per foot, and the fencing for the other three sides costs $5 per foot. The picture on the right depicts this situation. Consider the problem of finding the dimensions of the largest possible garden. (a) Determine the objective and constraint equations. (b) Express the quantity to be maximized as a function of x. (c) Find the optimal values of x and y.
There are $320 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $15 per foot, and the fencing for the other three sides costs $5 per foot. The picture on the right depicts this situation. Consider the problem of finding the dimensions of the largest possible garden. (a) Determine the objective and constraint equations. (b) Express the quantity to be maximized as a function of x. (c) Find the optimal values of x and y.
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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There are
$320
available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs
$15
per foot, and the fencing for the other three sides costs
$5
per foot. The picture on the right depicts this situation. Consider the problem of finding the dimensions of the largest possible garden.(a) Determine the objective and constraint equations.
(b) Express the quantity to be maximized as a function of x.
(c) Find the optimal values of x and y.
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