Question: Consider the following linear programming problem: Maximise Z = 4x1 4x2 subject to 2x1 + 2x2 4 2x1 2x2 6 x1 + 4x2 2 x1

Consider the following linear programming problem: Maximise Z = 4x1 4x2

subject to 2x1 + 2x2 4

2x1 2x2 6

x1 + 4x2 2

x1 0, x2 0.

Solve the problem using simplex method (algebraically). If there are more than one optimal solution, give a complete characterisation to the solutions.

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