Exam 14: Solution concepts for linear programming

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The simplex method is the standard procedure for solving linear programming problems with any number of decision problems because:

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The simplex method can only solve problems with up to 100 functional constraints

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The optimal solution of a feasible linear programming problem includes at least one corner point of the feasible region

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Interior-point algorithms:

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When choosing which corner point to advance to next,the simplex method chooses the one:

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The simplex method is which kind of algorithm?

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The theoretical limit on the number of decision variables that can be handled by the simplex method in a single problem is:

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Problems with multiple optimal solutions always have at least two optimal corner points

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A linear programming problem can have multiple optimal solutions

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The simplex method is a specific type of interior-point algorithm

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It can be helpful for management to have multiple optimal solutions

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If a single optimal solution exists to a linear programming problem,it will exist at a corner point

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The enumeration-of-corner-points method is limited because it can only solve problems with two decision variables

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If a problem is infeasible then:

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Two corner points are adjacent to each other if they share all but one of the same constraint boundaries

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Management science algorithms are typically iterative algorithms

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The computer time per iteration for an interior-point algorithm is approximately the same as for the simplex method

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A linear programming problem may have:

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In a linear programming problem with two decision variables,it is possible to have no point that satisfies all of the constraints simultaneously

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The simplex method is an algorithm that can be used for solving only large-scale problems

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