An intern sets up a linear program to optimize the use of paper products in the men's washroom. The system of equations he develops is:
Max 2T + 3S + 4ST
S.t &emsp; &emsp;3T + 6S ? 40
&emsp; &emsp;10T + 10S ? 66
&emsp; &emsp;10T + 15S ? 99
His mentor studies the model, frowns, and admonishes the intern for violating which of the following properties of linear programming models?
A) Divisibility
B) Proportionality
C) Certainty
D) Additivity

Question

Quizplus · Accepted Answer

The objective function violates the additivity property because it includes a product of decision variables (ST), which introduces non-linearity into the model. Linear programming models require that the objective function and constraints be linear in terms of the decision variables.

An Intern Sets Up a Linear Program to Optimize the Use