Suppose You Want to Minimize an Objective Function Z=2x₁+3x₂

question 50

Multiple Choice

Suppose you want to minimize an objective function z=2x₁+3x₂. Both decision variables must be integer. The optimal solution to the LP relaxation will:

• A) be smaller than the optimal IP solution
• B) be larger than the optimal IP solution
• C) can be either smaller or larger than the optimal IP solution
• D) will be within 5% of the optimal IP solution value

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Definitions:

Z-statistic

A numerical indicator that shows how a specific value compares to the average of a dataset, expressed as the number of standard deviations away from the mean.

Two-tailed Test

A statistical hypothesis test in which the area of rejection is on both sides of the sampling distribution, allowing for testing in both directions.

Z-statistic

A statistical measure that quantifies the distance (in standard deviation units) a data point is from the mean of a distribution.

Two-tailed Test

A statistical test that considers both directions of an effect, testing the possibility of relationships in both positive and negative directions.