Problem 3 Consider the following problem. = Maximize Z−x₁ + 4x2 Subject to -3x1 + x2 ≤6 x1 + 2x2 ≤4 x2 = -3 ✗₁ is unrestricted in sign. Reformulate this problem so that it has only two functional constraints and all variables a) Solve this problem graphically. b) c) have non-negativity constraints. Solve by the simplex method the problem formulated in (b).

Structural Analysis
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Problem 3
Consider the following problem.
=
Maximize Z−x₁ + 4x2
Subject to -3x1 + x2 ≤6
x1 + 2x2 ≤4
x2 = -3
✗₁ is unrestricted in sign.
Reformulate this problem so that it has only two functional constraints and all variables
a)
Solve this problem graphically.
b)
c)
have non-negativity constraints.
Solve by the simplex method the problem formulated in (b).
Transcribed Image Text:Problem 3 Consider the following problem. = Maximize Z−x₁ + 4x2 Subject to -3x1 + x2 ≤6 x1 + 2x2 ≤4 x2 = -3 ✗₁ is unrestricted in sign. Reformulate this problem so that it has only two functional constraints and all variables a) Solve this problem graphically. b) c) have non-negativity constraints. Solve by the simplex method the problem formulated in (b).
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