Consider the following linear programming model: $$\begin{array} { l }
\text { Max } \quad \mathrm { X } _ { 1 } ^ { 2 } + \mathrm { X } _ { 2 } + 3 \mathrm { X } _ { 3 } \
\text { Subject to: } \
\qquad \begin{array} { l }
\mathrm { X } _ { 1 } + \mathrm { X } _ { 2 } \leq 3 \
\mathrm { X } _ { 1 } + \mathrm { X } _ { 2 } \leq 1 \
\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0
\end{array}
\end{array}$$
This problem violates which of the following assumptions?
A)certainty
B)proportionality
C)divisibility
D)linearity
E)integrality

Question

Consider the following linear programming model: $$\begin{array} { l } 
\text { Max } \quad \mathrm { X } _ { 1 } ^ { 2 } + \mathrm { X } _ { 2 } + 3 \mathrm { X } _ { 3 } \
\text { Subject to: } \
\qquad \begin{array} { l } 
\mathrm { X } _ { 1 } + \mathrm { X } _ { 2 } \leq 3 \
\mathrm { X } _ { 1 } + \mathrm { X } _ { 2 } \leq 1 \
\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0
\end{array}
\end{array}$$
This problem violates which of the following assumptions?
A)certainty
B)proportionality
C)divisibility
D)linearity
E)integrality

Quizplus · Accepted Answer

The objective function $X_1^2 + X_2 + 3X_3$ is not linear due to the term $X_1^2$, violating the linearity assumption of linear programming.

Consider the Following Linear Programming Model This Problem Violates Which of the Following Assumptions? A)certainty B)proportionality

Consider the Following Linear Programming Model This Problem Violates Which of the Following Assumptions?
A)certainty
B)proportionality