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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
Maximize Z =3x+4x subject to x1+x2 =3 2x1+3x2 =4 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
A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we
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