1. For the following LPs, construct the Simplex tableau corresponding to the given extreme point ...
Find the pivot in the simplex tableau. The pivot is _______ . Use the indicated entry as the pivot and perform the pivoting. Complete the following simplex tableau to show the result of the pivoting. Use the simplex method to solve the linear programming problem. Maximize z=3x1 +2x2 +x3 subject to 2x1 +2x2 + x3 ≤ 14 x1 + 3x2 +3x3 ≤ 16 x ≥ 0, x2 ≥ 0, x3 ≥ 0. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
Introduce slack variables as necessary and then write the initial simplex tableau for the given linear programming problem. Complete the initial simplex tableau. 1 1 X, X2 X3 s, 3 8 5 0 2 2 0 0 ONN S2 S3 0 0 0 0 0 0 NOOO 1 12 9 9 1 0 Z= X1 +8X2 +3X3 Maximize subject to X1 8X4 +2x2 +X2 +3x3 12 + 5x3 39 + 2x3 = 9 20, X3 20. 2x X1 20, X2
Excel Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
1. Solve the following LP by the simplex method. Min z = 2x2 – Xı – X3 Subject to *1 + 2x2 + x3 = 12 2x1 + x2 – x3 = 6 -X1 + 3x2 = 9 X1, X2, X3 > 0
4.6-1.* Consider the following problem. Maximize Z= 2x1 + 3x2, subject to x1 + 2x2 54 x1 + x2 = 3 and X120, X2 0. DI (a) Solve this problem graphically. (b) Using the Big M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. I (c) Continue from part (b) to work through the simplex method step...
samplex Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2 – 3x3 + 5x4 S.t. X; + 7x2 + 3x3 + 7x, 46 (1) 3x1 - x2 + x3 + 2x, 38 .(2) 2xy + 3x2 - x3 + x4 S 10 (3) E. Non-neg. x > 0, x2 > 0, X3 > 0,44 20 Problem2: Solve the following problem using big M method: Max. Z = 2x1 + x2 + 3x3 s.t. *+...
1. Apply the simplex method to solve the following LP. Use the tableau format. You should show that you know the simplex method, standard forms and optimality criteria. Don't worry about arithmetic and do not do more than 2 iterations. Comment on an optimal solution. maximize subject to 21 + 2x2 – x1 + x2 = 2 —2x1 + x2 <1 x1, x2 > 0
(1 point) Use the simplex method to maximize P = 2x1 + 3x2 + x3 subject to -X -X1 + X2 + 4x2 + 2x2 + 10x35 10 + 6x3 9 + 10x3 S 11 X X120 x220 x3 20 P=
Introduce slack variables as necessary and write the initial simplex tableau for the problem. Maximize z = 4X1 + X2 subject to: 2X2 + 5x2 10 3X1 + 3x2 33 X120,X220 H N 47 X1 X2 S1 S2 1 0 0 1 0 10] بي بي حظ الا لما هب OO 3 1 X1 2 3 -4 X2 S1 S2 Z 5 1 0 10 3 0 1 -1 0 0 OON 1 X1 2 X2 S1 5 0 3...
Please use the big M method to solve the following linear program. Write down all tableau, note basic variables and nonbasic variables. Use slack and artificial variables. Construct your tableau iterations using the standard form of the program. For example first line z+2x1-2x2+2x3=0. If possible, STATE THE OPTIMAL SOLUTION AND THE OPTIMAL VALUE. Otherwise state why you cannot find them. Consider the following linear program: 2x3 max z= –2x1 + s.t. + -x1 21 > 0, 2x2 - 2x2 +...