Question: Given the LP: Maximize 5x1 + 3x2 + x3 Subject to 2x1+x2+x36 x1 + 2x2 + x3 7 x1,x2,x3 0 i- Write down the dual

Given the LP:

Maximize 5x1 + 3x2 + x3

Subject to 2x1+x2+x36

x1 + 2x2 + x3 7

x1,x2,x3 0

i- Write down the dual of the LP

ii-Given that the optimal solution to the dual problem is y = (7/3 , 1/3). Use complementary slackness to find the optimal solution to the primal problem.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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!

Consider the following LP: Maximize z = x1 + 5x2 + 3x3 Subject to: X1 + 2x2 + x3 = 3 2x1 - x2 = 4 X1, X2, X3 20 The starting solution consists of 3 in the first constraint and an artificial x4 in the...

Write the dual formulation for each of the following problems a. Maximize Z = 5x 1 + 3x 2 + x 3 s.t. 4x 1 + 3x 2 - x 3 = 20 2x 1 + 3x 2 - x 3 = 26 x 1 = URS x 2 , x 3 >=0 b. Minimize Z = 3x 1 + 2x 2...

Solve C C. Sensitivity Analysis: 1. Range of the Z-coefficient 2. Range of RHS Example C: Consider the following LP: Maximize Subject to z = 3x, + 2x2 + 5x3 X1 + 2x2 + x3 S 430 3x + 2x3 460 X: + 4x3...

PLEASE DO NOT COPY THE ANSWER FROM THE OTHER EXISTING QUESTIONS THAT THE BEGINIG IS THE SAME .PLEASE READ THE QUESTION UNTIL THE END. 2 1 24 1 6 2 14 4 13 The owner of a shop producing automobile...

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,...

operation resarch Q1. (5 points) Determine the extreme points (maximums/minimums) of the following function: f(x) = 2x12 + x2 + x32 + 6(x1 + x2 + x3) + 2X1XzX3 PLEASE SHOW YOUR WORK. Q2. (5 points)...

QUESTION 1 Consider the following LP: Maximize z = X1 + 5x2 + 3x3 Subject to: X1 + 2x2 + x3 = 3 2x1 - x2 = 4 X1, X2, X3 20 The starting solution consists of x3 in the first constraint and an...

operations research Consider the following LP. Maximize Z = X1 + 5x2 + 3x3 Subject to : X1 + 2x2 + x3 = 6 2x1 - x2 = 8 X1, X2, X3 20 The variable x3 plays the role of a slack. Thus, no artificial...

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...

Name two different series other than the Fourier series.

Make a reflection essay about Photosynthesis. You may refer to link below to answer. https://drive.google.com/file/d/1qVWRLj7GfHcECoKRuJvxVEDPKdG3Lp6k/view?usp=drivesdk

X is uniform in [ 0 , 5 ] . Obtain the average value of exp ( X )

Re 1. Pharoah purchased a patent from Vania Co. for $1,150,000 on January 1, 2023. The patent is being amortized over its remaining legal life of 10 years, expiring on January 1, 2033. During 2025,...