A feasible solution to an integer programming problem is ensured by rounding down non-integer solution values.Group of answer choicesTrueFalse
Question
A feasible solution to an integer programming problem is ensured by rounding down non-integer solution values.
Group of answer choices
- True
- False
Solution
The statement "A feasible solution to an integer programming problem is ensured by rounding down non-integer solution values" is generally False.
Explanation:
Rounding down (or using any type of rounding) a non-integer solution does not guarantee that the resulting values will satisfy all constraints of the integer programming problem. In many cases, rounding can lead to infeasibility because the rounded values might not meet the necessary constraints (for example, capacity limitations, demand requirements, etc.).
Thus, while rounding might help in approximating a feasible solution, it does not ensure it will be feasible without checking the problem's constraints.
Final Answer
False
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