Problem 2 Use the big-M method to solve the following linear program:z=-3x₁ + x₂ + x3x₁2x₂ + x3 ≤ 11,-- 4x1 + x₂ + 2x3 ≥ 3,- 2x₁ + x3 = 1,X1, X2, X3 20mins.t.

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Answered: Problem 2 Use the big-M method to solve…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question 20 Use the simplex method to solve the linear programming problem. Maximize z = 3x₁ + 2x2 subject to: 2x1 + 3x2 ≤ 4 4x1 + 2x2 ≤ 12 with X₁ ≥ 0, X₂ ≥ 0 Maximum is 9 when x1 = 3, x2 = 0 Maximum is 12 when x1 = 2, x2 = 3 Maximum is 4 when x1 = 0, x2 = 2 Maximum is 6 when x₁ = 2, x2 = 0
Consider the following linear program: maximize subject to Show Transcribed Text 3x1 + x2 + 4x3 1+3x2 + x3 ≤ 5 1 + 2x2 + 2x3 ≤7 21, 22, 23 20 (a). What is the corresponding dual problem? (b). Solve the dual problem graphically. (c). Use complementarity conditions for the primal-dual pair to solve the primal problem. If solving problems need MATLAB or Python, plz show me the Code that would help me a lot!!
1- Write the standard form of the following linear programming problems. max z = 6x1 + 3x2 s.t. - 5x1 + x2 > -6 Xi + 2x2 0 max z = 5xı + 3x2 – 9x3 s.t. x1 + x2 + 9x3 = 5 0 -3 X3 < 5
2. Rewrite the following linear program in standard form.
2. Rewrite the following linear program in standard form. (1) s.t. min z = -5x1 - 6x2 - 7x3 -x1 - 5x2 3x3 ≥ 15 -5x1 - 6x2 + 10x3 ≤ 20 x1x2x3 = -5 x1 ≤ 0, x2 > 0, x3 unconstrained -
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Q6. Consider the following linear program in standard maximization form: -5 max{r1 – x2} subject to -4 X1, 12 a) Use the Simplex Method (as seen in class) to solve the above linear program. Be sure to: o Indicate all slack and artificial variables you introduce. o Indicate the objective S of the extended tableau. o Whenever your tableau is in RRREF, indicate the current solution's values for all vari- ables. o Before pivoting, indicate the entry you plan to convert to the next pivot. o Clearly indicate why you should stop the algorithm and give a precise conclusion. b) Draw the feasible region in a fairly large and well-scaled diagram. Determine the coordi- nates of each vertex and label the vertices of the feasible region in your diagram. c) Based on the graphical approach, describe the optimal solutions of this LP (if any). VI VI AI
1. Given the following linear program: Max 3x1 + 4x2 s.t. 2x1 + 3x2 < 24 3x1 + x2 < 21 x1,x2> 0
Problem #3 D, E,F
solve the following linear programming problem
Solve the following Linear Programming problem using graphical solution method: Minimize Z = 3X1 + 2X2 subject to 6X1 +4X2 = 24 X1 + X2 <= 5 X1 >= 3 X2 <=2 X1, x2 >= 0

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Problem 2 Use the big-M method to solve the following linear program: z=-3x₁ + x2 + x3 x₁-2x₂ + x3 ≤ 11, - 4x₁ + x₂ + 2x3 ≥ 3, - 2x₁ + x3 = 1, ۲۱. ۲۰.۲۰ >0 min s.t.