Eight hundred dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs Ş10 per foot. The fencing for the east and west sides costs $25 per foot. Find the dimensions of the largest possible garden. Let x be the length of the north side of the fence and y be the length of the east side of the fence. Identify the function f(x.v) to be maximized and the constraint function g(x.y). f(x.y) = and g(x.y) =D The garden's north and south sides will each be v long and its east and west sides will each be v long. (Simplify your answers.)

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
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Eight hundred dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs Ş10 per foot. The fencing for the east and west sides costs $25 per foot. Find the dimensions of the largest possible garden.
Let x be the length of the north side of the fence and y be the length of the east side of the fence. Identify the function f(x.v) to be maximized and the constraint function g(x.y).
f(x.y) = and g(x.y) =D
The garden's north and south sides will each be
v long and its east and west sides will each be
- long.
(Simplify your answers.)
Transcribed Image Text:Eight hundred dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs Ş10 per foot. The fencing for the east and west sides costs $25 per foot. Find the dimensions of the largest possible garden. Let x be the length of the north side of the fence and y be the length of the east side of the fence. Identify the function f(x.v) to be maximized and the constraint function g(x.y). f(x.y) = and g(x.y) =D The garden's north and south sides will each be v long and its east and west sides will each be - long. (Simplify your answers.)
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