B. Solve the following linear programming problems: (a) Maximise 2x + 3y (b) Maximise -8x+ 4y subject to subject to 2x + y < 8 x + y<6 x + 2y < 10 x - y<2 2х — у 2 -3 x - y 2 -4 x >0 y2 0 y2 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Solve the following linear programming problems:
(a) Maximise 2x + 3y
(b) Maximise -8x + 4y
subject to
subject to
x - y<2
2x – y 2 -3
2x + y< 8
x + y<6
x + 2y < 10
x> 0
x – y2 -4
x20
y > 0
y 2 0
Transcribed Image Text:3. Solve the following linear programming problems: (a) Maximise 2x + 3y (b) Maximise -8x + 4y subject to subject to x - y<2 2x – y 2 -3 2x + y< 8 x + y<6 x + 2y < 10 x> 0 x – y2 -4 x20 y > 0 y 2 0
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