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Maximize Z = x^ 1+ 5 x^ 2 subject to 5 x^ 1+ 5 x^ 2 25 2 x^ 1+ 4 x^ 2 16 x^

MaximizeZ=x^1+ 5x^2

subject to 5x^1+ 5x^2 25

2x^1+ 4x^2 16x^1 5

x^1,x^2 0

  1. (a)Sketch the feasible area of the above problem
  2. (b)Find all extreme points.
  3. (c)Find an optimal solution of this model by using graphical analysis.
  4. (d)Solve the problem by using excel solver.
  5. (e)Identify and explain the shadow prices for each of the resource constraints.

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