The theoretical limit on the number of decision variables that can be handled by the simplex method in a single problem is:Multiple Choice2413unlimited.
Question
The theoretical limit on the number of decision variables that can be handled by the simplex method in a single problem is:
- Multiple Choice
- 24
- 13
- unlimited.
Solution
To determine the theoretical limit on the number of decision variables that can be handled by the simplex method in a single problem, we need to understand the capabilities of the simplex method.
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Simplex Method Overview: The simplex method is an algorithm used for solving linear programming problems. It is designed to handle problems with multiple decision variables and constraints.
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Theoretical Limit: Theoretically, the simplex method does not impose a strict limit on the number of decision variables. The primary constraints are related to computational resources such as memory and processing power, rather than the algorithm itself.
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Practical Considerations: In practice, the number of decision variables that can be handled is limited by the capabilities of the computer and the efficiency of the implementation of the simplex algorithm. However, these are practical limitations rather than theoretical ones.
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Conclusion: Given that the question asks for the theoretical limit, and considering that the simplex method itself does not impose a strict upper bound on the number of decision variables, the correct answer is:
unlimited.
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