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answer the blanks with the information provided on the table ***

Consider the following problem formulation and one of its basis's Simplex Tableau. TOW X1 X3 S1 S2 A1 A2 A3 RHS -2 0 - 1/2 -100 -99 1/2 -98 1/2 100 OOON 0 Solo O 0 0 0 0 1 WNO 40 10100 1 1/2 0 - 1/2 0 1/2 - 1/2 20 -1 1 - 1/2 -1 1/2 2 1/2 40 Answer the following questions assuming the tableau was obtained for a minimization problem. 1. Mark below all the statements that are correct for this tableau: {6: MULTIRESPONSE_S: ~=is optimal and has unique optimal solution ~is a feasible basis to the original problem vindicates that the problem is unbounded ~the problem has multiple optimal solutions ~the problem is infeasible) 2. Mark below all the variables that are part of this basis. {4: MULTIRESPONSE_S: ~=X1 ~X2 ~X3 ~S1~S2 ~A1 ~A2 ~A3.} 3. Write the values (in two significant decimals) for each of the variables indicated in the tableau: X1 X2 X3 S1 X2 X3 S1 S2 A1 A2 A3 Write the value of the objective function achieved with the basis in the tableau