Question: Problem 3. (21 marks in total) Consider the following linear programming problem: max x + 2x, st. -*+x, 52 *+*, 54 x 52.5 * 53

Problem 3. (21 marks in total) Consider the
Problem 3. (21 marks in total) Consider the following linear programming problem: max x + 2x, st. -*+x, 52 *+*, 54 x 52.5 * 53 7., 20 (a) (5 marks) Graph the feasible domain of the problem. (b) (2 marks) Is there any redundant constraint? If so, which one, and why this constraint is redundant? (c) (3 marks) Find an optimal solution for the problem. (d) (3 marks) What is the optimal value of the problem? e) (4 marks) Find the range of optimality of the coefficient of x in the objective function. (1) (4 marks) Find the range of optimality of the coefficient of x in the objective function

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