Solve the Following Problem by the Simplex Method

question 36

Essay

Solve the following problem by the simplex method.
Max
100x₁ + 120x₂ + 85x₃
s.t.
3x₁ + 1x₂ + 6x₃ ≤ 120
5x₁ + 8x₂ + 2x₃ ≤ 160
x₁ , x₂ , x₃ ≥ 0

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Definitions:

Oxygen

Oxygen is a chemical element with symbol O and atomic number 8; essential for respiration in most living organisms and important in industrial processes.

Petr Kropotkin

A Russian anarchist philosopher and activist known for his advocacy of mutual aid and cooperation over competition.

Russian Naturalist

A scientist from Russia who specializes in natural history, including the study of plants, animals, and the environment.

Cooperation

The act of working together towards a common goal or interest, often leading to mutual benefit and achievements that might not be possible individually.