For the Following Linear Programming Problem
Max Z
-2x₁ $\le$ 7
1x₁ + X₂ + X₃

question 14

Essay

For the following linear programming problem
Max Z
-2x₁ + x₂ - x₃
s.t.
2x₁ + x₂ $\le$ 7
1x₁ + x₂ + x₃ $\ge$ 4
the final tableau is $$\begin{array} { c c | c c c c c c | c } & & \mathrm { x } _ { 1 } & \mathrm { x } _ { 2 } & \mathrm { x } _ { 3 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \mathrm { a } _ { 2 } & \\\text { Basis } & \mathrm { C } _ { \mathrm { B } } & - 2 & 1 & - 1 & 0 & 0 & - \mathrm { M } & \\\hline \mathrm { s } _ { 2 } & 0 & 1 & 0 & - 1 & 1 & 1 & - 1 & 3 \\\mathrm { x } _ { 2 } & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 7 \\\hline & z _ { j } & 2 & 1 & 0 & 1 & 0 & 0 & 7 \\& \mathrm { C } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & - 4 & 0 & 1 & - 1 & 0 & - \mathrm { M } &\end{array}$$
a.Find the range of optimality for c₁, c₂ , c₃.c₄, c₅ , and c₆.
b.Find the range of feasibility for b₁, and b₂.

Grasp the components and significance of the Correctional Institutions Environment Scale.

Identify specific initiatives and programs aimed at rehabilitation within the prison system.

Recognize the role of psychological phenomena such as the forensic confirmation bias in the criminal justice process.

Analyze the compatibility of correctional programs with contemporary political climates.

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Definitions:

Midterm Examinations

Exams given roughly halfway through an academic term to assess students' understanding of the course material.

Centered

In statistics, adjusting data values by subtracting the mean of the data set from each value to have an average of zero.

Perfect Substitute

Goods or services that can be used in exactly the same way and are considered interchangeable by the consumer.

Indifference Curve

A graph representing combinations of two goods that provide an individual with the same level of satisfaction and utility.