Solve the following linear programming problem by big M methodMinimize z= -3x1+x2 + X3Subject to x1 - 2x2 + x3 < 11-4x1 + x2 + 2x3 2 32x1-x3 = -1X1, X2 , X3 2 0

To find- Solve the following linear programming problem by Big M method Minimize Z = -3x1 + x2 +…

Answered: Solve the following linear programming…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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8. Solve the linear programming problem. Minimize z = 10x₁ + 16x₂ + 20x3, subject to 3x1 + x2 + 6x3 2 9 x₂ + x₂ ≥9 4x₂ + x3 ≥ 12 x ≥ 0, x₂ ≥ 0, x₂ ≥ 0 by applying the steps of simplex method of the dual problem shown in Section 6-3 of the textbook.
5
Solve the linear programming problem by the simplex y² - 2x +41 method. Minimize 11x + 4y subject to the constraints shown on the right. ys -x+48 1 ys- 3x+28 The minimum value of 11x + 4y is (Type integers or fractions.) y2 yz - /x+6 x>0, y²0 which is attained for x = and y = (
Consider the problemMaximize z = x1 + 5x2 + 3x3subject tox1 + 2x2 + x3 = 62x1 - x2 = 8x1, x2, x3 >= 0The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the firstconstraint. In the second constraint, an artificial variable, R, is needed. Solve the problemusing x3 and R as the starting variables.
3. Solve the following linear programming problem by using simplex table method. МАX Z 3 15х, — 3x2 — 7хз subject to 3x1 – 5x2 + 2x3 < 72 4x1 + 7x2 + 9х; < 100 -12x1 + 4x2 + 5x3 < 290 аnd x1, X2, Xз2 0.
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Consider the following integer nonlinear programming problem. Маximize Z = xx3x3, XX2X3 , subject to X1 + 2x2 + 3x3< 10 x121, x 2 1, xz 2 1, and X1, X2, X3 are integers. Use dynamic programming to solve this problem. Please show your steps (show your tables).
[3.5] Solve the following linear programming problem by the simplex method. At each iteration, identify B and B Maximize 3x₁ subject to 3x₁ -X1 X1, + 2x2 3x2 + 2x2 x2, - في كزرد ) (ط) نقطة من كرد (۲) +++ x3 + 2x3 ≤ 3 X3 ≤ 6 X3 ≥ 0.
Q1/1) what is the general form of linear programming problems. 2) Numerate the functions of management. 92/ Sugges 1 Functions of Manggment having the Sha
Consider the following optimization problemMinimizez = x1 + 3x2subject to3x1 − 2x2 ≤ b1x1 + 3x2 = 2x1, x2 ≥ 0(a) Solve the linear program graphically for b1 = 2.(b) By adjusting b1, determine graphically the range of b1 for which the solutionstays optimal.(c) What is the range of the objective value for the range of b1 in Part(b)?(d) Deduce the relationship between the change in b1 to the change in objectivevalue?(e) By adjusting b1, determine graphically the range of b1 for which the solutionstays feasible.
A: Find the solution to the following linear programming problem using the simplex method Max (Z)=50x1+60x2 Subjected to: 2x1+x2 < 300 3x1+4x2 ≤ 509 4x1+7x2 ≤ 812 x1,x220
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Solve the following linear programming problem by big M method Minimize z=-3x₁+x₂ + x3 Subject to x₁2x₂ + x3 ≤ 11 -4x₁ + x₂ + 2x3 ≥ 3 2x1 -X3 = -1 X1, X2, X3 20