Linear Programming.Please follow the same way the example was done in 2nd pic 3. Solve the LP problem using the dual simplex method.minimizesubject tox1 +45x2 + 3x3x1 +5x2-x3x1 + x2 + 2x3-x₁ + 3x₂ + 3x3-3x1 + 8x2 - 5x3X1, X2, X3 ≥ 0.≥ 4≥ 2≥ 5≥ 3 8:34< CamScanner 04-09-2023 20.33ImageWordsolve the following LP problem, Using the am simplesmin X₁ + x₂ + x3st. X₁ + X₂ + X3 23.4x₁ + x₂ + 2x3 25X₁, X₂, X3 20Solutionby inspection, we see that the problem has no bf.s. and it is not incanonical form. Thus, proceed.1. Change constraints inequality to "<" by multiplying across by -1.add slack variables which then puts problem in canonical form."stmin x₁ + x₂ + x3-X₁ X₂ X3 ≤-33-4х, - Х2 -2х3 5-5X,, Х2, Х3 20The Augmented Matrix Form.brX₁X3X4XSPy +R₂-1-4I**6So, (2,1)by yX-1XsAddX₂-1-11X₁ 0I1ISince the basis matrix B= [94 95] therefore X= [X4 X5] = [-3XB is a basic non-feasible solution (why?) Since both B₁ ²0₁ ; = 1, 2 and -is more negative than-3, we pivot in row 2..>Now for the pivot column, compute,-21Corresponds to colurm:1and the piviot is -4thX4I16max^{ 2²/1²: 0; 20} = max {- +₁+34 where4443-4I-34-1/₂1/4min X₁ + X₂ + X3XsOzSignentry = -4 is our pivot elementY₂-1 -1X4XsL1O1/4 1/2OI1/₂. O-X₁ X2 X3 +₁ ≤-3-4₁-Y₂-2x3 + £5X₁, X₂ X3 X4 X5 20-1/4OOI -1/4-1/4b-3-5-35/4O-7/45/4ShareNow XB = [X₁ X4] [7]since by

Min x1+45x2+3x3 subjected to constrain x1+5x2-x3≥4x1+x2+2x3≥2-x1+3x2+3x3≥5-3x1+8x2-5x3≥3x1, x2,…

Answered: 3. Solve the LP problem using the dual…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X~ BIN (9,0.54). Assume you are about to play the game. 15. The probability that you will tame some number a or less dogs is 0.66144. What must be (round to the nearest whole number)?
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3. Solve the LP problem using the dual simplex method. minimize x₁ +45x2 + 3x3 x₁ +5x2-x3 subject to x1 + x2 + 2x3 -x1 + 3x2 + 3x3 -3x1 +8x25x3 X1, X2, X3 ≥ 0. ≥ 4 ≥ 2 ≥5 ≥ 3