Maximize z = 4x + 2y, subject to the following constraints. 10x + 5y ≤ 55 3x + 4y ≤ 24 x ≥ 0, y ≥ 0 The maximum value is z = on the line segment terminating at the points (x, y) = (smaller x- value). (x, y) = (larger x-value).
Maximize z = 4x + 2y, subject to the following constraints. 10x + 5y ≤ 55 3x + 4y ≤ 24 x ≥ 0, y ≥ 0 The maximum value is z = on the line segment terminating at the points (x, y) = (smaller x- value). (x, y) = (larger x-value).
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 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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Question
Maximize
z = 4x + 2y,
subject to the following constraints.
10x | + | 5y | ≤ | 55 |
3x | + | 4y | ≤ | 24 |
x | ≥ | 0, y | ≥ |
0 |
The maximum value is z =
on the line segment terminating at the points (x, y) = (smaller x- value).
(x, y) = (larger x-value).
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