Question: 2.2 (10 points) Introduce artificial variable and add big M to the objective function 2.a) Please write down all constraints after you have added artificial

2.2 (10 points) Introduce artificial variable and

2.2 (10 points) Introduce artificial variable and add big M to the objective function 2.a) Please write down all constraints after you have added artificial variables 2.b) You may need to introduce big M in the objective, and write the new objective function with big M 2.c) What are your basiconbasic variables for the initial (first) basic feasible solution (BFS)? BV={ }; NBV={ } 2.d) The coefficients for some basic variables in row 0 are not zero, change them to 0 by elementary row operations Row 0: New Row 0: 2.3 (15 points) Simplex tableaus, starting at the 1st tableau and 1st BFS, and also by steps in Simplex algorithm to obtain following tableaus: 3.a) initial (first) tableau: RHS Basic Ratio variables -Z = 3.b) second tableau: -Z RHS Basic variables Ratio = = = For this problem, you can stop here after finishing the 2nd tableau (identifying basic variables, performing ratio test and identifying the pivot row). 2.2 (10 points) Introduce artificial variable and add big M to the objective function 2.a) Please write down all constraints after you have added artificial variables 2.b) You may need to introduce big M in the objective, and write the new objective function with big M 2.c) What are your basiconbasic variables for the initial (first) basic feasible solution (BFS)? BV={ }; NBV={ } 2.d) The coefficients for some basic variables in row 0 are not zero, change them to 0 by elementary row operations Row 0: New Row 0: 2.3 (15 points) Simplex tableaus, starting at the 1st tableau and 1st BFS, and also by steps in Simplex algorithm to obtain following tableaus: 3.a) initial (first) tableau: RHS Basic Ratio variables -Z = 3.b) second tableau: -Z RHS Basic variables Ratio = = = For this problem, you can stop here after finishing the 2nd tableau (identifying basic variables, performing ratio test and identifying the pivot row)

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