Solve the Following LP Problem Graphically by Enumerating the Corner $\quad 8 X _ { 1 } + 3 X _ { 2 }$

question 53

Short Answer

Solve the following LP problem graphically by enumerating the corner points.
MIN: $\quad 8 X _ { 1 } + 3 X _ { 2 }$
Subject to: $\quad X _ { 2 } \geq 8$
$$\begin{array} { l } 8 \mathrm { X } _ { 1 } + 5 \mathrm { X } _ { 2 } \geq 80 \\3 \mathrm { X } _ { 1 } + 5 \mathrm { X } _ { 2 } \geq 60 \\\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0\end{array}$$

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Definitions:

Objective Criteria

Objective criteria are quantifiable, measurable standards used to assess or evaluate performance, outcomes, or decisions without personal bias or subjectivity.

Integrative Agreements

Solutions in negotiations that involve creative problem-solving to achieve outcomes that are beneficial for all parties involved, often leading to a win-win situation.

Fundamental Disagreement

A deep and basic difference in opinions, beliefs, or values between individuals or groups.

Integrative Agreements

Negotiation outcomes that all parties find satisfactory because they creatively address all interests.