Question: 1. Apply the two-phase simplex algorithm to each of the LPs below. First, if the LP is not in standard form, convert it into standard

1. Apply the two-phase simplex algorithm to each

1. Apply the two-phase simplex algorithm to each of the LPs below. First, if the LP is not in standard form, convert it into standard form. Then, add artificial variables to define the auxiliary LP and solve it to determine if the original LP is feasible. (To reduce computation, you do not need to define artificial variables for equations that already isolate variables.) If the original LP is feasible, then use information in the last tableau of the auxiliary LP to continue the simplex method to find an optimal solution of the original LP, or to find the original LP to be unbounded. max I 8 s.t. - I 1 - X3 + x4 + X5 21 - 2x3 3x4 + 16 21 + X3 0.524 2x1 + x2 - 5x4 X; > 0 for all i = -2, - 18 = 4, = 1, X8 = 6, +27 1. Apply the two-phase simplex algorithm to each of the LPs below. First, if the LP is not in standard form, convert it into standard form. Then, add artificial variables to define the auxiliary LP and solve it to determine if the original LP is feasible. (To reduce computation, you do not need to define artificial variables for equations that already isolate variables.) If the original LP is feasible, then use information in the last tableau of the auxiliary LP to continue the simplex method to find an optimal solution of the original LP, or to find the original LP to be unbounded. max I 8 s.t. - I 1 - X3 + x4 + X5 21 - 2x3 3x4 + 16 21 + X3 0.524 2x1 + x2 - 5x4 X; > 0 for all i = -2, - 18 = 4, = 1, X8 = 6, +27

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