The term nonnegativity refers to the condition where:
A)the objective function cannot be less that zero
B)the decision variables cannot be less than zero
C)the right hand side of the constraints cannot be greater then zero
D)the reduced cost cannot be less than zero

Question

Quizplus · Accepted Answer

Nonnegativity implies that the decision variables cannot take negative values. This is because in many practical situations negative values do not make sense. For example, the number of employees hired cannot be negative, or the amount of material used in manufacturing cannot be negative. Therefore, choice B is the correct answer. Choice A refers to the nonnegativity of the objective function, which is usually not a condition for linear programming problems. Choice C refers to the sign restrictions on the right-hand side of the constraints, which may or may not be nonnegative. Choice D refers to the optimality conditions for linear programming, which may or may not involve nonnegativity.

The Term Nonnegativity Refers to the Condition Where