Question: 1. suppose that the optimal objective function value for a linear programming problem is z=100. The right hand side value for the first constraint of

1. suppose that the optimal objective function value for a linear programming problem is z=100. The right hand side value for the first constraint of the problem is 25. In the sensitivity report, the allowable increase for this constraint is 5, the allowable decrease is 10, and the shadow price is 6.

What is the optimal objective function value if the right hand side of the first constraint is changed to 18?

Suppose we have a feasible linear programming problem. How many of its constrains will be satisfied at the optimal solution?

		All of them
		At least half, but not all of them
		At least one, but not more than half of them
		None of them

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