Solve the Following LP Problem Graphically Using Level Curves

question 8

Essay

Solve the following LP problem graphically using level curves.
MAX: ^{7 X}₁ ^{+ 4 X}₂
Subject to: ^{2 X}₁ ^{+ X}₂ ^{≤ 16}
X₁ + X₂ ≤ 10
2 X₁ + 5 X₂ ≤ 40 X₁,X₂ ≥ 0

---

Definitions:

Social Facilitation

The tendency for people to perform differently when in the presence of others than when alone, typically improving on well-practiced tasks.

Achievement Motivation

Factors that move people to seek success in academic settings.

Social Loafing

The tendency of individuals to exert less effort on a task when working in a group than when working alone.

Social Influence

Social influence encompasses the ways in which individuals change their behavior to meet the demands of a social environment.