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

question 43

Multiple Choice

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

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Definitions:

Productive Efficiency

A situation in which an economy or entity is producing goods and services at the lowest possible cost, utilizing all its resources efficiently.

Allocative Efficiency

A state of resource allocation where goods and services are distributed according to consumer preferences, with each good produced up to the point where the last unit provides a level of utility equal to its cost of production.

Productive Efficiency

A situation where goods and services are produced at the lowest possible cost and resources are utilized optimally.