Question: Consider the following Linear Program: maximize x1+ 0.5 x2 subject to 2x1+ x2 4 x1+ 2x2 3 x1, x2 0 The optimal solution is: x1=

Consider the following Linear Program:

maximizex1+ 0.5 x2subject to

2x1+ x2 4

x1+ 2x2 3

x1, x2 0

The optimal solution is:x1= 2,x2=0, objective function = 2

Discuss the following:

  • Is this solution also optimal:x1=5/3,x2=2/3, objective function = 2?
  • And what aboutx1= 0,x2=4, objective function = 2?

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