Given the Following Linear Program:
the Graphical Solution to the Problem

question 34

Essay

Given the following linear program:
The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x₁ = 5,x₂ = 3,and z = 46.
$\mathrm{M} A X \quad 5 X_{1}+7 X_{2}$

s.t
$\begin{aligned} x 1 & \leq 6 \\ 2 x_{1}+3 x_{2} & \leq 19 \\ x_{1}+x_{2} & \leq 8 \\ x_{1}, x_{2} & \geq 0 \end{aligned}$
a.Calculate the range of optimality for each objective function coefficient.
b.Calculate the dual price for each resource.

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Definitions:

Correlational

Pertaining to a statistical relationship between two or more variables, indicating how one may predict the other without implying causation.

Overt Behavior

Actions or responses that are observable and measurable by others, as opposed to thoughts or feelings which are internal and subjective.

Daydreaming

A state of mind involving spontaneous and self-generated thoughts and imaginations, disconnected from immediate external tasks.

Clinical Psychology

A branch of psychology concerned with diagnosing and treating mental, emotional, and behavioral disorders.