Exam 7: Intro to Linear Programming

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​Use a graph to illustrate why a change in an objective function coefficient does not necessarily lead to a change in the optimal values of the decision variables,but a change in the right-hand sides of a binding constraint does lead to new values.

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The point (3,2)is feasible for the constraint 2x1 + 6x2 ≤ 30.

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An unbounded feasible region might not result in an unbounded solution for a minimization or maximization problem.

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​If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1)or 125 wiffle balls (x2)can be produced per hour of labor,which of the following constraints reflects this situation?

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In a feasible problem,an equal-to constraint cannot be nonbinding.

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​Explain the difference between profit and contribution in an objective function.Why is it important for the decision maker to know which of these the objective function coefficients represent?

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A solution that satisfies all the constraints of a linear programming problem except the nonnegativity constraints is called

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All linear programming problems have all of the following properties EXCEPT

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The maximization or minimization of a quantity is the

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