Solve the Following LP Problem Graphically Using Level Curves

question 65

Essay

Solve the following LP problem graphically using level curves.
MAX: ^{5 X}₁ ^{+ 6 X}₂
Subject to: ^{3 X}₁ ^{+ 8 X}₂ ^{≤ 48}
12 X₁ + 11 X₂ ≤ 132
2 X₁ + 3 X₂ ≤ 24 X₁,X₂ ≥ 0

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Definitions:

Bolsheviks

A faction of the Russian social-democratic movement that split from the Menshevik faction and, led by Lenin, seized control of Russia in the October Revolution of 1917.

October Revolution

A key event of the Russian Revolution of 1917, in which the Bolshevik party, led by Vladimir Lenin, overthrew the provisional government and established a Communist state.

Political Opponents

Individuals or groups opposing each other in ideology, policy, or political goals, often within the context of elections or legislative processes.

White Armies

Anti-Bolshevik forces during the Russian Civil War (1917-1923), composed mostly of monarchists, nationalists, and other anti-communist factions.