Solve the given maximization problem using Simplex method:Maximize : Z=40x1+30x2 Subject to: x1+x2≤12 2x1+x2≤16 x1≥0;x2≥0
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Given : Z=40x1+30x2 Subject to: x1+x2≤12 2x1+x2≤16 x1≥0;x2≥0
To Find : Maximize Z
Solution:
x1+x2≤12
2x1+x2≤16
x1≥0;x2≥0
x1 = 4 x2 = 8
x1 =0 x2 = 12
x1 = 8 x2 = 0
Z=40x1+30x2
x1 = 4 x2 = 8 Z = 160 + 240 = 400
x1 =0 x2 = 12 Z = 360
x1 = 8 x2 = 0 Z = 320
x1 = 4 x2 = 8 gives maximum Z = 400
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