3. Given the following LP formulation and its primaloptimal solution, find the dual optimal solution usingthe Theorem of Complementary Slackness. Show allof your solutions. Any other solution methods usedwill not be given any points.max z = 5X1 + X2 + 2X3X1 + X2 + X3 ≤ 66X1 + X3 ≤ 8X2 + X3 ≤ 2X1, X2, X3 ≥ 0Primal Optimal Solution: X1= 1, X3 = 2, Z =9, s3=0Dual Optimal Solution:Summarize your answer here:W=Dual Variable Value Dual Variable Valuey1e1y2e2e3y3

Answered: Image /qna-images/answer/bd2fd672-6988-4fae-82f9-361c899f6a16.jpg

Answered: 3. Given the following LP formulation…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

min z = x, +2x, 2 X; +x, 29 X, +5x, 215 2x, +x, <16 s.t. X,, X2 , X3 2 0 Given the above linear programming model. Find the optimal solution by using Big M method.
Consider the following minimum problem: Minimize: C = 2x₁ + 3x₂ Subject to the constraints: x1 + x₂ > 2 2x1 + 3x₂ ≥ 6 x1 ≥ 0 x₂ > 0 Write the dual problem for the above minimum problem by selecting the appropriate number for each blank box shown below (Do not solve the dual problem). Y₁+ [Select] P [Select] = [Select] [Select] Y₁ ≥ 0 Minimum value of C = Value of 1 = Y2 ≥ 0 Value of 2 = Subject to the constraints: 3x1 + x₂ ≥ 6 -4x1 + 2x₂ ≥ 2 x₁ ≥0 X₂ ≥0 Use the simplex method to solve the following minimum problem on your own paper. Then, using your final tableau, enter the answer in each relevant box provided below. Minimize: C = 3x₁ +4x2 Subject to the following constraints: 2x1 + x₂ > 2 2x1 + x₂ ≥ 6 x₁ ≥ 0 ; x₂ > 0 x1 = Y₁+ X2 = Yı+ C = [Select] [Select] Use the simplex method and the Duality Principle to solve the following minimum problem: Minimize: C = 2x1 + 2x₂ Y2 Y22 y2 ≤ 3 and using your final tableau answer the questions below by entering the correct answer in each blank box.…
Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x,+5x2 Subject to: X:5 .(1) 2x:+X;512 ..(2) X,+2x;s12 ..(3) X1, X220.. .(4) 12 11 10 D A *9 10 11 12 n a) What is the optimal solution x1, X2 and z? b) Determine the optimality range of the objective function coefficient c1. c) Determine the feasibility range of the right-hand side for constraint 1, 2 and 3. d) How many basic feasible solutions in this problem? e) Is there any binding constraint(s)? f) Dose any constraint has a slack? which one and by how much? g) Dose any constraint has a surplus? which one and by how much?
A LP model is given as Max z = 3x1+ 2x2 Subj to 2x1 + 2x2 0 Obtain the dual of the model. Use the variables y1, Y2, Y3, · . . Objective function: Min w= Constraint 1: Constraint 2: With: >0
Pls help ASAP
Use the simplex method to maximize the following: Maximize f=10x1+17x2+11x3 subject to 2x1+x2+x3≤70 x1+2x2<50 x2+3x3≤60 x120,x220,x320 If no solutions exist enter DNE in all answerboxes. x1= x2= x3= f=
Solve the linear programming problem in the attached image (excel solver or simplex tableau). Here x3 is unrestricted, so we have to take: x3=(x’3-x”3), also introduce slack and artificial variables.
Which one is the optimal solution of given linear programming model? Max Z = X1 + X2 s.t. 8X1 + 6X2 12 X2 2 1 2X2 < 6 X1, X2 0. OA. X1= 9/4, X2 = 1, Max Z-13/4 O B. X1=3/ 2, X2 =1, Max Z-5/2 OC X1=6/8, X2 =3, Max Z-15/4 OD. X1=0, X2 = 3, Max Z=3 Seçimi Sıfırla
UPVOTE WILL BE GIVEN!
Point A// For the following LP model, determine the optimal solution using the .simplex method Max 50x₁ + 40x2 s.t. Assembly time Portable display Warehouse capacity 3x₁ + 5x₂ 150 1x₂20 8x₁ + 5x₂ ≤ 300 X₁, X₂ ≥ 0
șt. Consider the LP model below: Маx z 3D х, + X2 4x1 + x2 < 100 X1 + x2 < 80 X1 S 40 X1, X2 2 0 Find the values of all the variables at each basic solution. а. b. Find the optimal solution checking each of the basic feasible points (without drawing an isoprofit z line). С. Find the adjacent feasible points of optimal point.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS