Solve the Following Problem Graphically

question 35

Essay

Solve the following problem graphically:
Min
P₁(d₁⁺) + P₂(d₂−)
s.t.
3x₁ + 5x₂ ≤ 45
3x₁ + 2x₂ − d₁⁺ + d₁− = 24
x₁ + x₂ − d₂⁺ + d₂− = 10
x₁, x₂, d₁−, d₁⁺, d₂−, d₂⁺ ≥ 0

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Definitions:

Byzantine Empire

A term used to describe the Eastern Roman Empire from the fall of the Western Roman Empire in the 5th century A.D. to the fall of Constantinople in 1453.

Ancient Greek

Refers to the culture, language, and civilization of Greece during a period spanning from the 9th to the 1st century BC, known for its art, architecture, philosophy, and the origins of democracy.

Medieval Thinkers

Intellectuals during the Middle Ages who explored various fields of thought, including theology, philosophy, and science, often within the framework of religious belief.

Ptolemy's

Refers to the works and theories of Claudius Ptolemy, a Greco-Roman mathematician, astronomer, and geographer, best known for his geocentric model of the universe and the influential text "Almagest."