Write the Dual to the Following Problem $\ge$ 50
3x₁ + 4x₃

question 23

Essay

Write the dual to the following problem.
Min
12x₁ + 15x₂ + 20x₃ + 18x₄
s.t.
x₁ + x₂ + x₃ + x₄ $\ge$ 50
3x₁ + 4x₃ $\ge$ 60
2x₂ + x₃ - 2x₄ $\le$ 10
x₁, x₂, x₃, x₄ $\ge$ 0

---

Definitions:

Not Elsewhere Classifiable

A term used in coding and classification systems for instances that do not fit into any existing categories.

Non-Elective Contraindication

A situation where medical treatment must not be used due to the risk of harm and the treatment is not chosen by the patient or provider.

Noted Exceptional Condition

A unique or rare health state or disorder that is identified and specifically highlighted due to its uncommon nature.

NOS

An abbreviation for "Not Otherwise Specified," used in medical coding when a condition doesn't fit other specific categories.