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5. Solve the following LP problem using the simplex algorithm for maximum tableaus:

Maximize:

f(x₁, x₂) = 3x₁ + x₂

subject to

x1- x₂ ≤ −1

-x₁- x₂ ≤-3

2x1- x₂ ≤2

x1, x2 >0