Convert the Following Linear Program into a Simplex Model Form

question 90

Essay

Convert the following linear program into a simplex model form.
Maximize 8X + 10Y
Subject to: 5X + 3Y ≤ 34
2X + 3Y = 22
X ≥ 3
X, Y ≥ 0

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Definitions:

Asthma

A chronic disease that causes constriction of the bronchial tubes, preventing air from passing freely and causing wheezing and difficulty breathing during attacks.

Chronic Lung Diseases

A broad term encompassing persistent respiratory problems that obstruct airway flow and affect lung function, such as COPD and asthma.

Emphysema

A long-term, progressive lung disease that primarily causes shortness of breath due to over-inflation of the air sacs (alveoli) in the lungs.

Chronic Bronchitis

A long-term inflammation of the bronchi (large and medium-sized airways) in the lungs, often resulting from smoking or air pollution, characterized by coughing and mucus production.