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

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Definitions:

Matrix Structure

An organizational structure that combines two or more types of organizational structures, most commonly functional and product-based divisions, aiming for greater flexibility in management.

Transnational Company

A multinational corporation that operates in multiple countries but adjusts its practices and products to local conditions.

Functional Structure

An organizational design that groups employees according to their specialized roles or functions within the company, aiming for operational efficiency.

Horizontal Flow

The movement of goods, information, or services across similar levels of an organization or among departments without a hierarchical order.