Solve the Following LP Problem Graphically by Enumerating the Corner

question 2

Essay

Solve the following LP problem graphically by enumerating the corner points.
MAX: ^{4 X}₁ ^{+ 3 X}₂
Subject to: ^{6 X}₁ ^{+ 7 X}₂ ^{≤ 84}
X₁ ≤ 10
X₂ ≤ 8 X₁,X₂ ≥ 0

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Definitions:

Democracies

A form of government in which power is vested in the people and exercised by them directly or through freely elected representatives.

Postmodernists

Thinkers or artists who reject grand narratives and universal truths, focusing instead on relative truths, subjectivity, and the deconstruction of established concepts.

Metanarrative

A overarching story or narrative that provides a culture or society with coherence and meaning, often critiqued in postmodern thought.

Rational Solutions

Solutions derived through logical and systematic methods, typically involving clear, reasoned thinking.