Linear programming model-optimal solution and maximum profit

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Given this linear programming model:

       Max Z = 10x + 16y (profit)

        s.t.

           (1)   2x + 5y < 30

           (2)   x + y < 12

           (3)   3x + 2y < 36     

           (4)    x, y   >   0

(a) Explain what information is presented in this model.

(b) If they sell 4 of x and 5 of y, what is their total profit?

(c) Determine the optimal solution and maximum profit.

(d) Someone said that if they added 2 units in the first constraint, then they could improve the objective function value by 5. What are your thoughts regarding this comment?

Reference no: EM13969393

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