Consider the Following Linear Program

question 50

Essay

Consider the following linear program:
Maximize Z = 3 X₁ + 2 X₂ - X₃
Subject to: X₁+ X₂ + 2 X₃ ≤ 10
2 X₁ - X₂ + X₃ ≤ 20
3 X₁ + X₂ ≤ 15
X₁,X₂,X₃ ≥ 0
(a)Convert the above constraints to equalities by adding the appropriate slack variables.
(b)Set up the initial simplex tableau and solve.

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