The requirement that each term in the objective function only contains a single variable is in a linear program is referred to as:
A)the proportionality assumption
B)the divisibility assumption
C)the additivity assumption
D)a nonlinear function
E)None of the above

Question

The requirement that each term in the objective function only contains a single variable is in a linear program is referred to as:
A)the proportionality assumption 
B)the divisibility assumption 
C)the additivity assumption 
D)a nonlinear function 
E)None of the above

Quizplus · Accepted Answer

The additivity assumption requires that the objective function and constraints be expressed as a linear combination of the decision variables, where each term contains only a single variable. This allows the problem to be solved using standard linear programming techniques. The proportionality assumption means that the objective function coefficients are directly proportional to the decision variables, and the divisibility assumption means that the decision variables can take on any non-negative value. Nonlinear functions do not satisfy the assumptions of linear programming, and cannot be solved using standard techniques.

The Requirement That Each Term in the Objective Function Only