There are $448 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $12 per foot, and the fencing for the other three sides costs $4 per foot. The picture on the right depicts this situation. Consider the problem of finding the dimensions of the largest possible garden. $4 (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 v. $4 $12 y $4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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There are $448 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $12 per foot, and the
fencing for the other three sides costs $4 per foot. The picture on the right depicts this situation. Consider the problem of finding the dimensions of
the largest possible garden.
$4
(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 v.
octive equation is
$4
X
$12
y $4
Transcribed Image Text:There are $448 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $12 per foot, and the fencing for the other three sides costs $4 per foot. The picture on the right depicts this situation. Consider the problem of finding the dimensions of the largest possible garden. $4 (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 v. octive equation is $4 X $12 y $4
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