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Solve by simplex method
Subject to
3x1 + 5x2 ≤ 15
5x1 + 2x2 ≤ 10
& x1 ≥ 0, x2 ≥ 0
[Ans. Max Z = 235/19, x1= 20/19, x2= 45/19]
x1 + x2 ≤ 4
3x1 - 8x2 ≤ 24
10x1 + 7x2 ≤ 35
[Ans. Max Z = 28, x1= 0, x2= 4]
x1 + 3x2 + x4 ≤ 4
2x1 + x2 ≤ 3
x2 + 4x3 + x4 ≤ 3
& x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, x4 ≥ 0
[Ans. Max Z = 13/2, x1= 1, x2= 1, x3= 1/2, x4= 0]
-x1 - 2x2 ≥ -6
4x1 + 3x2 ≤ 12
[Ans. Max Z = 21, x1= 3, x2= 0]
2x1 + x2 ≤ 10
x1 + 3x2 ≤ 6
x1 + x2 ≤ 21
definitions procedure and example
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This methods studies development from simpler forms through a long series of a small change. Each change by itself results in minor modification in the phenomenon but the
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Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X1+ X2 2 X1, X2 0on..
A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i
For every LP formulation there exists another unique linear programming formulation called the 'Dual' (the original formulation is called the 'Primal'). Same data
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