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

Multiple Choice

Consider the following linear programming model:
$$\begin{array} { l l } \operatorname { Min } & 2 \mathrm { X } _ { 1 } + 3 \mathrm { X } _ { 2 } \\\text { Subject to: } \\& \mathrm { X } _ { 1 } + 2 \mathrm { X } _ { 2 } \leq 1 \\& \mathrm { X } _ { 2 } \leq 1 \\& \mathrm { X } _ { 1 } \geq 0 , \mathrm { X } _ { 2 } \leq 0\end{array}$$
This problem violates which of the following assumptions?

A) additivity
B) divisibility
C) non-negativity
D) proportionality
E) linearity