Solve the problem maximise x0 = -x1 -2x2 - x3 subject to x1 + 3x2 -x3 ⩾ 6 -0.5x1 + x2 ⩾ 1 x1, x2,x3⩾ 0 (a) by introducing artificial variables and using the 'big M' method; (b) by using the dual simplex method.
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