Explanation Given Information: The provided equation is, Minimize c = 2 s + 2 t + 3 u Subject to s + u ≥ 100 , 2 s + t ≥ 50 and s ≥ 0 , t ≥ 0 , u ≥ 0 Formula used: Two LP problems, one is a maximization and other is minimization problem are dual if the matrix that represent one is the transpose of the transpose of the other matrix. Step1: Finding the dual of a given problem follows: (a): represent the problem in a matrix form. (b): Take the transpose of the matrix. (c): Write down the dual, which is the LP problem corresponding to the new matrix. If the original problem was a maximization problem then its dual will be a minimization problem and vice versa. The original problem is called as the primal problem, and its dual is called to as the dual problem. Calculation: Consider the provided equation, Minimize c = 2 s + 2 t + 3 u Subject to s + u ≥ 100 , 2 s + t ≥ 50 and s ≥ 0 , t ≥ 0 , u ≥ 0 Represent this above problem by the matrix as: [ 1 0 1 2 1 0 2 2 3

7th Edition

ISBN: 9781337291262

Author: Stefan Waner, Steven Costenoble

Publisher: Brooks Cole

See similar textbooks

Videos

Question

Chapter 5.5, Problem 4E

To determine

To calculate: The dual LP program of the provided equation,

Minimize c=2s+2t+3u

Subject to s+u≥100, 2s+t≥50 and s≥0,t≥0,u≥0

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5.5, Problem 3E

Chapter 5.5, Problem 5E

Students have asked these similar questions

Calibri BIUAAAA ויו Text in Italian is not being checked. Do you want to add it as a proofing language? Task 12 Fig 1 75 75 75 Fig 2 Fig 3j Add Figures 1 to 3 each shows a top view and a front view of models. Make use of the lineated paper for isometric projection and take each block on the paper as being 10mm x 10mm. Use the indicated sizes and draw an isometric view of each of the three models Samsung Galaxy A04e

a) show that the empty set and sigletonset are convex set. 6) show that every sub space of linear space X is convex but the convers heed not be true. c) let Mand N be two convex set of a linear Space X and KEF Show that MUN is conevex and (ii) M-N is convex or hot A and is MSN or NSM show that MUN convex or not, 385

xp x+x

Chapter 5 Solutions

Finite Mathematics, Loose-leaf Version

Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 6E Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - In Exercises 1-26, sketch the region that...Ch. 5.1 - Prob. 9E Ch. 5.1 - In Exercises 1-26, sketch the region that...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The dual LP program of the provided equation, Minimize c = 2 s + 2 t + 3 u Subject to s + u ≥ 100 , 2 s + t ≥ 50 and s ≥ 0 , t ≥ 0 , u ≥ 0

Solution Summary: The author calculates the dual LP program of the provided equation, Minimize c=2s+2t+3u.

Videos

To calculate: The dual LP program of the provided equation,

Minimize c=2s+2t+3u

Subject to s+u≥100, 2s+t≥50 and s≥0,t≥0,u≥0

Want to see the full answer?

Chapter 5 Solutions

The dual LP program of the provided equation, Minimize c = 2 s + 2 t + 3 u Subject to s + u ≥ 100 , 2 s + t ≥ 50 and s ≥ 0 , t ≥ 0 , u ≥ 0

Solution Summary: The author calculates the dual LP program of the provided equation, Minimize c=2s+2t+3u.

Videos

To calculate: The dual LP program of the provided equation, Minimize c=2s+2t+3u Subject to s+u≥100, 2s+t≥50 and s≥0,t≥0,u≥0

Want to see the full answer?

Chapter 5 Solutions

To calculate: The dual LP program of the provided equation,

Minimize c=2s+2t+3u

Subject to s+u≥100, 2s+t≥50 and s≥0,t≥0,u≥0