Question: Consider the following linear programming problem: Minimize 2A + 4B = Z Constraints: 4A + 6B >= 120 2A + 6B >= 72 B >=

Consider the following linear programming

Consider the following linear programming problem: Minimize 2A + 4B = Z Constraints: 4A + 6B >= 120 2A + 6B >= 72 B >= 10 A, B >= 0 If after we solved it with solver, we found the optimal solution is A = 15 and B = 10, and the objective value Z = 70. The shadow price for the third constraint (i.e. B >=10) is 2. The allowable increase and the allowable decrease are 10 and 6, respectively. Based on the statements above, which of the following is correct? If you decrease the right-hand value of the third constraint to 9, the optimal Z will stay the same. If you decrease the right-hand value of the third constraint to 2, the optimal Z will be equal to 62. 0 a none of the above If you increase the right-hand value of the third constraint to 15, the optimal Z will be equal to 75. If you increase the right-hand value of the third constraint to 15, the optimal Z will be equal to 80

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