21. Кх, у) 2х -у ys 4x + 6 5 * 4y s 7 2r + ys7 бу X-6y z 10

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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Find the maximum and minimum values of each function for the polygonal convex
set determined by the given system of inequalities.
17. (x, y) = 3x +y
xs5
y2 2
2x - 5y -10
20. f(x , y) = 4x 2y + 7
18. (x, y) -y -x
ys4- 2x
x + 2 2 2
y20
19. (x, y) = x + y
y<6
4x-5y -10
2x-5y -10
21. (x, y)-2x - y
ys 4x + 6
4y s 7
2r + ys7
X- 6y s 10
22. f(x. y) = -2x + y + 5
2s ys8
X20
x + y< 4
2x y +2< 16
y25-x
Transcribed Image Text:Find the maximum and minimum values of each function for the polygonal convex set determined by the given system of inequalities. 17. (x, y) = 3x +y xs5 y2 2 2x - 5y -10 20. f(x , y) = 4x 2y + 7 18. (x, y) -y -x ys4- 2x x + 2 2 2 y20 19. (x, y) = x + y y<6 4x-5y -10 2x-5y -10 21. (x, y)-2x - y ys 4x + 6 4y s 7 2r + ys7 X- 6y s 10 22. f(x. y) = -2x + y + 5 2s ys8 X20 x + y< 4 2x y +2< 16 y25-x
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