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

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Definitions:

Volcano

A rupture in the planet's surface through which magma, ash, and gases are expelled.

Oil Field

An area underlain by reservoirs containing petroleum and natural gas extractable through drilling.

Volcanoes

Openings in the Earth's crust from which molten rock, ash, and gases are ejected, often forming mountains or craters.

Noxious Gases

Refers to harmful or toxic gases, which can be produced by natural processes such as volcanic eruptions or through human activities.