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

question 78

Multiple Choice

Suppose you want to maximize 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:

Observational Group

A group in a study that is exposed to the variable under investigation for observational purposes without receiving the experimental treatment.

Independent Variable

In experimental research, the variable that is manipulated by the researcher to observe its effect on the dependent variable.

Dependent Variable

A variable in research that is expected to change as a result of manipulations in the independent variable, used to measure the effect of those manipulations.

Controlled Variable

A factor in an experiment that is purposefully kept constant to test the relative impact of an independent variable.