Consider the canonical maximum tableau below: x y -1 1 2 | 3 = - 4...
if so, prove It. i 10. Consider the dual canonical tableau below: X, X, -1 Assume, without loss of generality, that a>0. a. Ifb>0 and c>0, which of the four types of behavior for dual canonical linear programming problems as given by the duality theorem is exhibited above. Prove your assertion. b. Repeat part a under the assumptions that b>0 and c<0. c. Repeat part a under the assumptions that b <0 and c>0 d. Repeat part a under the...
Consider the simplex tableau given below. X1 X2 S1 S2 Р 1 4 2 3 - 3 0 1 0 0 3 24 0 -6 0 1 0 (A) The pivot element is located in column and row (B) The entering variable is (C) The exiting variable is O. (D) Enter the values after one pivot operation in the tableau below. X1 X2 S1 S2 Р 1 2 0 3 0 -4 1 1 0 12 09 96 0 1...
Consider the following tableau: 21 81 82 RHS P 0 1 1 0 3 3 2 7 2 0 0 3 1 12 -7 –12 0 0 0 a) Determine the pivot element and perform all the pivot operations for the entire pivot column to obtain the next tableau. In this next tableau that you obtained in the objective row, enter in each box below the number you have under each column. Note: Where applicable, fractions must be entered as...
#16.2 Consider the following standard form LP problem: minimize 2xi -x2-^3 subject to 3x1+x2+エ4-4 a. Write down the A, b, and c matrices/vectors for the problem. b. Consider the basis consisting of the third and fourth columns of A, or- dered according to [a4, as]. Compute the canonical tableau correspond ing to this basis c. Write down the basic feasible solution corresponding to the basis above, and its objective function value. d. Write down the values of the reduced cost...
2. Consider the linear programm (a) Fill in the initial tableau below in order to start the Big-M Method tableau by performing one pivot operation. (6) The first tableau below is the tableau just before the optimal tableau, and the second one oorresponds to the optimal tableau. Fill in the missing entries for the second one. 1 7 56 M15 25 01 3/2 2 0 0 1/2 0 15/2 #310 0 5/2-1 o 1-1/2 0133/2 a1 a rhs (i) Exhibit...
9.Write the solution that can be read from the simplex tableau below 15 0 0 6 4 1 0 7 0 14 0 26 -1 0 28 33 0 2 -2 0 9 81 |33 0 -27 8 0 02 x0, x 15, x, 0, s, 0, s, 28, s) 81, z 2 2 15 , 81 15, 82-4, s3 9,z 1 ,220, r3 O x, 3, x 0, x, 0, s, 0, s 4, s,9, z 1 O x,...
Q1. (Basic Concept of the Simplex Procedure) (3 marks) This question is about the "Pivoting" step in the Simplex algorithm procedure. The step updates the Simplex tableau by pivoting on the intersection of the entering-variable column and the leaving variable row, i.e. perform EROs on the tableau to get a 1 in the pivot position, and 0s above and below it. We know that one ERO type is "Add a multiple of one row to another row." Consider that we...
Q1. (Basic Concept of the Simplex Procedure) (3 marks) This question is about the "Pivoting" step in the Simplex algorithm procedure. The step updates the Simplex tableau by pivoting on the intersection of the entering-variable column and the leaving variable row, i.e. perform EROs on the tableau to get a 1 in the pivot position, and 0s above and below it. We know that one ERO type is "Add a multiple of one row to another row." Consider that we...
Q1. (Basic Concept of the Simplex Procedure) (3 marks) This question is about the "Pivoting" step in the Simplex algorithm procedure. The step updates the Simplex tableau by pivoting on the intersection of the entering-variable column and the leaving variable row, i.e. perform EROs on the tableau to get a 1 in the pivot position, and 0s above and below it. We know that one ERO type is "Add a multiple of one row to another row." Consider that we...
1) (5pts) Given the following Simplex Tableau 3 2 -8 1 1 0 0 0 X3 S1 3 -1 4 1 5 2 -5 3 S2 0 1 0 0 S3 0 0 1 0 0 0 0 1 50 a) Identify the basic and nonbasic variables in the Simplex Tableau (2pts) b) Find the pivot element, the entering variable and the exiting variable, and perform one pivot operation. (3pts)