There are $384 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $18 per foot, and the fencing for the other three sides costs $6 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. (a) Let A equal the area of the garden. The objective equation is____________ The constraint equation is______________ (b) Express the quantity to be maximized as a function of x._________________ (c) Find the optimal values of x and y.____________________
There are $384 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $18 per foot, and the fencing for the other three sides costs $6 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. (a) Let A equal the area of the garden. The objective equation is____________ The constraint equation is______________ (b) Express the quantity to be maximized as a function of x._________________ (c) Find the optimal values of x and y.____________________
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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There are $384 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $18 per foot, and the fencing for the other three sides costs $6 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.
(a) Let A equal the area of the garden. The objective equation is____________
The constraint equation is______________
(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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