H13-311_V3.5 · Question #210
Which of the following can optimization problem be classified according to the constraints? (Multiple choice)
The correct answer is A. equality constraints B. Inequality constraints C. Unconstrained conditions. Optimization problems are formally classified by the type of constraints they impose: equality constraints (e.g., h(x) = 0), inequality constraints (e.g., g(x) ≤ 0), or no constraints at all (unconstrained). This three-way classification is standard in mathematical optimization…
Question
Which of the following can optimization problem be classified according to the constraints? (Multiple choice)
Options
- Aequality constraints
- BInequality constraints
- CUnconstrained conditions
- DSemi-constraint conditions
How the community answered
(15 responses)- A73% (11)
- D27% (4)
Explanation
Optimization problems are formally classified by the type of constraints they impose: equality constraints (e.g., h(x) = 0), inequality constraints (e.g., g(x) ≤ 0), or no constraints at all (unconstrained). This three-way classification is standard in mathematical optimization and operations research, making A, B, and C all valid categories. Option D, "semi-constraint conditions," is not a recognized standard classification in optimization theory - it has no formal definition in the field and is therefore incorrect.
Memory tip: Think "EIU" - Equality, Inequality, Unconstrained. These are the three pillars of constraint classification, and any option outside this trio (like "semi-constraint") should be treated with suspicion on an exam.
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