Find the maximum possible value and the minimum possible value of the objective function f= 12x + 4y subject to the following constraints. Ay 14x+y=D20 -x+y=3 4x+ys 20 x+2ys 12 (2.5) -x+ys3 (4,4) 4- x20, y 2 0 *+2y 12 (0,3) The maximum value of the objective function subject to the constraints is 2 The minimum value of the objective function subject to the constraints is (5,0) (0,0)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...
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Find the maximum possible value and the minimum possible value of the objective
function f= 12x+ 4y subject to the following constraints.
AY
|4x+y%3D20
4x + ys 20
x+ 2ys 12
(2,5)
-x+ys3
x20, y 2 0
4-
(4,4)
(0,3)
x+2y%3D12
The maximum value of the objective function subject to the constraints is
21
The minimum value of the objective function subject to the constraints is
(5,0)
(0,0)
2,
Transcribed Image Text:Find the maximum possible value and the minimum possible value of the objective function f= 12x+ 4y subject to the following constraints. AY |4x+y%3D20 4x + ys 20 x+ 2ys 12 (2,5) -x+ys3 x20, y 2 0 4- (4,4) (0,3) x+2y%3D12 The maximum value of the objective function subject to the constraints is 21 The minimum value of the objective function subject to the constraints is (5,0) (0,0) 2,
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