Write the Dual of the Following Linear Program

question 12

Essay

Write the dual of the following linear program.
Minimize Z = 12 X1 + 30 X2
Subject to: 32 X1 + 18 X2 ≥ 600
24 X1 + 48 X2 ≥ 800
X1, X2 ≥ 0

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Definitions:

Air Brake Circuit

An arrangement of components including air tanks, hoses, valves, and actuators, designed to operate brakes using compressed air.

Slack Adjusters

Components in a vehicle's brake system that adjust the brakes as they wear, ensuring consistent braking performance.

S-Cams

Components used in drum brakes, shaped like an "S", which turn and push brake shoes out against the drum to stop a vehicle.

Linear Force

A force that acts in a straight line, applying push or pull in a single direction to move or support objects.