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...
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)
(1 point) For the simplex tableau given below, enter the current values of the requested variables. | P X1 X2 S1 0 0 0 1 0 1 17 0 11 0 11 0 S2 RHS -12 26 669 11
N N N N Score: 0 of 1 pt 1 of 5 (1 complete) X 4.1.19 Pivot once as indicated in the given simplex tableau. Read the solution from the result X1 X2 X3 S1 $2 1 6 2 1 0 0 56 1 10 1 12 1 2 0 1 Pivot around the highlighted entry ts X1 X2 X3 S1 0 ary (Simplify your answers.) s Enter your answer in the edit fields and then click Check Answer
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Write the solutions that can be read from the simplex tableau. X1 X2 X3 S1 S2 z 3 4 0 3 0 17 1 5 1 7 0 0 26 -3 4. 0 1 0 1 16 O A. X1, X2, S1 = 0, X3 = 17, s2 = 26, z = 16 B. X1, X2, S1 = 0, X3 = 26, S2 = 17, z = 16 O C. X1, X2, S1 = - 0, X5 = 26, S2...
Homework: Homework 4.1 Score: 0 of 1 pt 5 of 5 (4 complete 4.1.23 Pivot once as indicated in the given simplex tableau. Read the solution from the result. X1 2 4 7 - 3 X2 2 1 8 - 8 X3 3 1 4 - 2 S1 1 0 0 0 S2 0 1 0 0 S3 0 0 1 0 Z 0 600 0 400 0 2600 1 0 Z Pivot around the highlighted entry. X1 X2 X3...
Consider the simplex tableau given below. 0 0 0 0 0 20 0 (A) The pivot element is located in columnand row (B) The entering variable is (C) The exiting variable is (D) Enter the values after one pivot operation in the tableau below. 0 0 0 027 10 0
Q4. (Sensitivity Analysis: Adding a new constraint) (3 marks) Consider the following LP max z= 6x1+x2 s.t.xi + x2 S5 2x1 + x2 s6 with the following final optimal Simplex tableau basis x1 r2 S2 rhs 0 0 18 0.5 0.5 0.5 0.5 x1 where sı and s2 are the slack variables in the first and second constraints, respectively (a) Please find the optimal solution if we add the new constraint 3x1 + x2 S 10 into the LP (b)...
3 0 6 (a) Let x1 = 2 X2= and write W = span{X1, X2} 21 Find X1 X2 and enter your answer in the box below. X1 X2 = Number We then apply Gram-Schmidt to find an orthonormal basis for W. V1 = X1 v2 = x2 - projv112 Find V2 and enter your answer in the box below. We then normalise the basis {V1, V2} to form an orthonormal basis {01, 12} (0) in Maple syntax, should be...