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?

Answer choices

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 decrease the right-hand value of the third constraint to 2, the optimal Z will be equal to 62.

If you decrease the right-hand value of the third constraint to 9, the optimal Z will stay the same.

If you increase the right-hand value of the third constraint to 15, the optimal Z will be equal to 80.