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Find all the basic solution of the following problem:

Maximise:

z=x1+3x2+3x3

subject to,

x1+2x2+3x3=4

2x1+3x2+5x3=7

x1, x2, x30

1 Answer
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Solution:

Sr. No. Non Basic Variable Basic Variable Equation and the values of the basic variable Value of z Is the solution basic?
1 x3=0 x1, x2 x1+2x2=42x1+3x2=7x1=2, x2=1 5 Yes
2 x2=0 x1, x3 x1+3x3=42x1+5x3=7x1=1, x3=1 4 Yes
3 x1=0 x2, x3 2x2+3x3=43x2+5x3=7x2=1, x3=2 - No
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