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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
the dual form of the following lpp min z=3x1+2.5x2 constraints:2x1+4x2>=40, 3x1+2x2>=50 and x1,x2>=0
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
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How to solve linear programming problems using simplex method introducing slack variable,surplus variable and artificial variable
#use the simple method to solve the following L.P.P. Maximize Z =4X1 +10X2 subject to constraints, 2X1 +X2 2X1+5X2 2X1 +3X2 X1,X2 > 0
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