Consider the Following Multi-Objective Linear Programming Problem MOLP)

question 17

Essay

Consider the following multi-objective linear programming problem MOLP):
MAX: ^{3 X}₁ ^{+ 4 X}₂
MAX: ^{2 X}₁ ^{+ X}₂
Subject to: ^{6 X}₁ ^{+ 13 X}₂ ^{? 78}
12 X₁ + 9 X₂ ? 108
8 X₁ + 10 X₂ ? 80 X₁,X₂ ? 0
Graph the feasible region for this problem and compute the value of each objective at each extreme point.What are the solutions to each of the component LPs?

---

Definitions:

Improvements

Refers to enhancements or upgrades made to a property or a process that increase its value, efficiency, or usefulness.

Existing Levels

The current state or condition of something, often used to describe the intensity, amount, or degree of an element or entity.

Nonattainment Areas

Geographic areas that have not met the national primary or secondary ambient air quality standards for certain pollutants as designated by the Environmental Protection Agency (EPA).

National Ambient Air Quality Standards

Standards set by the Environmental Protection Agency (EPA) for the quality of outdoor air in the United States to protect public health and the environment.