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Example 2
Max Z = 3x1 - x2
Subject to
2x1 + x2 ≥ 2
x1 + 3x2 ≤ 3
x2 ≤ 4
& x1 ≥ 0, x2 ≥ 0
Answer
SLPP
Max Z = 3x1 - x2 + 0s1 + 0s2 + 0s3 - M a1
2x1 + x2 - s1+ a1= 2
x1 + 3x2 + s2 = 3
x2 + s3 = 4
x1 , x2 , s1, s2, s3, a1 ≥ 0
As all Δj ≥ 0, optimal basic feasible solution is achieved. Hence the solution is Max Z = 9, x1 = 3, x2 = 0
Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0
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SOLVE THE FOLLOWING LP USING SIMPLE METHOD MAXIMIZE Z=3X1+2X2 SUBJECT TO CONSTRAINT X1+X2 X1-X2 X1,X2>=0
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discuss the significance of oparation research
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
a paper mill prodecs 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 in
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