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Consider the following linear programming problem. Minimize Z = 3a + 5b S.T -3a + 4b 12 2a - 1b - 2 2a + 3b

Consider the following linear programming problem.

Minimize Z =

3a + 5b

S.T -3a + 4b 12

2a - 1b - 2

2a + 3b 12

a 4

b 2

a,b 0.

a. Solve graphically the linear programming problem.

b. Identify the optimal solution and give the value of the objective function at the optimal solution.

c. Which constraints are binding? Explain

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