Question: Solve the following LP by the Dual Simplex Algorithm. Explain why it is advisable to solve such LPs by the Dual Simplex Algorithm. minimize X1

Solve the following LP by the Dual Simplex

Solve the following LP by the Dual Simplex Algorithm. Explain why it is advisable to solve such LPs by the Dual Simplex Algorithm. minimize X1 + 2x2 subject to 2x1 + 4x2 > 4 X2 > 2 -2x1 + 5x2 > 5 5x1 + 1x2 > 10 3x1 + 6x2 > 9 X; > 0, j = 1, 2. 4x1 Write down the optimal primal solution and the optimal dual solution

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Dual Simplex Algorithm for LP Problem We are given the following Linear Programming problem Minimize Z x1 2x2 Subject to constraints 2x1 4x2 geq 4 x2 geq 2 2x1 5x2 geq 5 5x1 x2 geq 10 3x1 6x2 geq 9 x1 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Bounded Dual Simplex Algorithm. The dual simplex algorithm (Section 4.4.1) can be modified to accommodate the bounded variables as follows. Given the upper-bound constraint xj uj for all j (if uj is...

Solve the following LP. Do NOT use the primal simplex algorithm. Explain your approach in detail. (BG M or Two phase method) Minimize -5x1 - 3x2 - x3 subject to 2x1 - x2 + x3 7 x1 + 2x2 + x3 1 x1,...

Demand Consider the assignment problem having the following cost Table. Draw the network representation of this assignment problem. Solve the problem using Hungarian method. Task 2 3 8 Assignment7 8...

Consider the following problem. Maximize Z x1 2x2, subject to 2x1 x2 40 x2 15 2x1 x2 10 and x1 0, x2 0. I (a) Solve this problem graphically. (b) Use the dual simplex method manually to solve...

8. Bounded Dual Simplex Algorithm. The dual simplex algorithm (Section 4.4.1) can be modified to accommodate the bounded variables as follows. Given the upper bound constraint Xj :5 Uj for allj (if...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

3 Use the Big M method and the two-phase method to nd the optimal solution to the following LP: max z 5x1 x2 s.t. 2x1 x2 6 s.t. x1 x2 4 s.t. x1 2x2 5 x1, x2 0 4 Use the simplex algorithm to nd the...

atar University, College of Engineering Advanced Operations Research, IENG 331 Spring 2017 Instructor: Dr. A.Sleptchenko Homework 26/05/2017 Contains 6 problems (120 points) 1. (20 points) Dual...

Discuss financial ratios for the purpose of financial analysis: ?mention uses and limitations ?choose three ratios from different categories (such as liquidity, asset management, debt management,...

6. ( 6 pts ) Consider the following symmetric matrix: 11 1 A=1 11 1 1 1 Compute the spectral decomposition of A = QAQ where Q is an orthogonal matrix and A a diagonal matrix.1. The mean time taken...

Chemistry equation 4: (iv) Calculate, with the help of benzene's density, the mass of the volume benzene used. Calculate the molar mass of naphthalene by making use of equation (4).

A confused chemist Al Keane used the following names in a paper about alkenes. Although each name specifies a structure, in some cases the name is incorrect. Correct the names that are wrong. (a)...

Please discuss how XYZ company violates the principles of internal control activities.Alex is a senior corporate accountant of the XYZ company, and he has been in this position for more than 1 0...

What is an example of constructive feedback? provide reference