1. Consider the following linear programming formulation:  Min   5x + 2y Subject to        (1)       3x + 6y  ≥  18                         (2)       5x + 4y  ≥  20                         (3)       8x + 2y  ≥  16                         (4)       7x + 6y ≤  42                         (5)        x, y ≥  0 a. Which constraints are binding? Which are non-binding? b. What are the slack and surplus associated with each constraint? c. Change the objective function to 15x + 12y. What is the new optimal solution

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