Question: 4. Consider the linear programming problem with constraints 521 + 12 0. The feasible region is shown below. 100 90 80 70 (0,60) 60 50-

4. Consider the linear programming problem with

4. Consider the linear programming problem with constraints 521 + 12 0. The feasible region is shown below. 100 90 80 70 (0,60) 60 50- B(10,50) 40- 30 (20,0) 10+ 20 OL 10 30 40 50 60 70 (i) (10 points) If the objective is to maximize 2x1 + 22, what is the optimal solution? (ii) (10 points) Which of the objective functions below will have an infinite number of solutions? 1. maximize 5x1 + x2 2. minimize 2x1 +2:02 3. maximize 7.21 2x2 4. minimize x1 12

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