Question: if integer constraints are added to a linear programming model, then the optimal objective value will improve. True /False? Suppose x 1 , x 2

if integer constraints are added to a linear programming model, then the optimal objective value will improve. True /False?

Suppose x₁, x₂, and x₃ are binary variables that are equal to 1 if the corresponding project (1, 2, or 3) is selected and 0 if the corresponding project is not selected. Which constraint reflects the statement "at most two of these projects must be selected"?

		x₁ + x₂ = x₃
		x₁ + x₂ + x₃ = 2
		x₁ + x₂ + x₃ 2
		x₁ + x₂ + x₃

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