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

question 47

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

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Definitions:

Nietzsche

Friedrich Nietzsche was a German philosopher, cultural critic, poet, and philologist known for his critique of traditional morality and religion, as well as for his concept of the "will to power."

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Ethical guidelines and values that are passed down through generations within a culture or society, often based on religious or philosophical beliefs.

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The ability to produce original and unusual ideas, or to make something new or imaginative.

Rousseau

Jean-Jacques Rousseau, an 18th-century philosopher, writer, and composer who contributed to political philosophy, education, and literature, famous for his concepts of the "social contract" and the nature vs. nurture debate.