If a Company Selects Either of Project 1 or Project

question 2

Multiple Choice

If a company selects either of Project 1 or Project 2 (or both) , then either Project 3 or Project 4 (or both) must also be selected. Which of the following constraints enforce this condition?

• A) X₁ + X₂ ≤ 2(X₃ + X₄)
• B) X₁ + X₂ ≤ X₃ + X₄
• C) X₁ − X₃ = X₂ − X₄
• D) X₁ + X₂ + X₃ + X₄ ≤ 2

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Definitions:

Least Squares Estimate

A method of estimating the coefficients in a linear regression model by minimizing the sum of the squares of the differences between observed and predicted values.

Slope

A measure of the steepness or incline of a line, often calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Dependent Variable

A variable in statistical analysis that represents the outcome of interest, whose variation is hypothesized to depend on the manipulation or variation of other variables.

Independent Variable

A variable in a functional relation whose value determines the value or values of other variables.