Find values of x1 and x2 that minimize z = - 3x1 + 2x2 subject to 3x1

Question:

Find values of x1 and x2 that minimize
z = - 3x1 + 2x2
subject to
3x1 - x2 ≥ - 5
- x1 + x2 ≥ 1
2x1 + 4x2 ≥ 12
x1 ≥ 0
x2 ≥ 0
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