In linear programming, what does the constraint X1 ≥ 0 signify?

Prepare for the PHFO Quantitative Analysis For Business Exam. Study with flashcards, multiple choice questions, hints, and explanations to ensure confidence and success in your exam!

Multiple Choice

In linear programming, what does the constraint X1 ≥ 0 signify?

Explanation:
Nonnegativity constraint. In linear programming, X1 ≥ 0 means X1 cannot take negative values. This mirrors real-world quantities like the number of units produced, amount of a resource used, or money invested, which cannot be negative. By enforcing X1 ≥ 0, the feasible region is restricted to nonnegative values, ensuring the solution makes sense for practical quantities. It’s not an upper bound (that would be X1 ≤ something) and it’s not an integer requirement (that would be something like X1 is an integer).

Nonnegativity constraint. In linear programming, X1 ≥ 0 means X1 cannot take negative values. This mirrors real-world quantities like the number of units produced, amount of a resource used, or money invested, which cannot be negative. By enforcing X1 ≥ 0, the feasible region is restricted to nonnegative values, ensuring the solution makes sense for practical quantities. It’s not an upper bound (that would be X1 ≤ something) and it’s not an integer requirement (that would be something like X1 is an integer).

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy