Question No. 2:- Consider the following LPP Graphically
Maximize Z = 50x1 + 60x2
Subject to
2x1 + 3x2 < 1500
3x1 + 2x2 < 1500
Xi < 400
X2 < 400
X1, x2 > 0
Answers
Given : 2x1 + 3x2 < 1500
3x1 + 2x2 < 1500
X1 < 400
X2 < 400
X1, x2 > 0
To Find : Maximize Z = 50x1 + 60x2
Solution:
2x1 + 3x2 < 1500
3x1 + 2x2 < 1500
Points are
(0 , 400) , (150 , 400) , (300 , 300) , (400 , 150) , (400 , 0)
Z = 50x1 + 60x2
x1 x2 Z
0 400 24000
150 400 31500
300 300 33000
400 150 29000
400 0 20000
Maximize Z = = 33000 at x1 and x2 = 300
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