Q5. a) Sketch the graph of the solution set of the system of lincar inequalities. -3x + 2y < 6 x+ 4y > -2 2x + y<3 b) Find the minimum and maximum values of the objective function and the points (x where they occur, subject to the constraints 3x1 + x: 5 15 and 4x1 + 3x2 5 30, where XI, X2 20. The objective function is z-2x1+x2.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
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Q5. a) Sketch the graph of the solution set of the system of lincar inequalities.
-3x + 2y < 6
x+ 4y > -2
2x + y<3
b) Find the minimum and maximum values of the objective function and the points (x
where they occur, subject to the constraints 3x1 + x: 5 15 and 4x1 + 3x2 5 30, where
XI, X2 20. The objective function is z-2x1+x2.
Transcribed Image Text:Q5. a) Sketch the graph of the solution set of the system of lincar inequalities. -3x + 2y < 6 x+ 4y > -2 2x + y<3 b) Find the minimum and maximum values of the objective function and the points (x where they occur, subject to the constraints 3x1 + x: 5 15 and 4x1 + 3x2 5 30, where XI, X2 20. The objective function is z-2x1+x2.
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