Question: A linear programming model is given as follows: Minimize = 8 1 + 6 2 Subject to 4 1 + 2 2 20 6 1

  1. A linear programming model is given as follows:

Minimize = 81 + 62

Subject to 41 + 22 20

61 + 42 12

1 + 2 6

1, 2 0

  1. Define the feasible solution area and obtain the optimal solution graphically
  2. If the coefficient of 2 in the objective function decreases to 4, what effect will be?
  3. If the second constraint, 61 + 42 12, is removed from the given model, what effect will be?
  4. If a new constraint, 41 + 62 24, is added to the given model, what effect will be?

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