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For the following linear programming problem:    Maximize 2x1+ 3x2    Such that        x1+ x2...

For the following linear programming problem:

   Maximize 2x1+ 3x2

   Such that

       x1+ x2 ≤ 4

     5x1+ 3x2 ≤15

      x1,x2 ≥ 0

  1. Graph the region that satisfies the constraints.
  2. Find the optimal solution and the value of the objective function at the optimal solution.
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