Solve by simplex method, Operation Research

Assignment Help:

Solve by simplex method

  1. Maximize Z = 5x1 + 3x2

Subject to

3x1 + 5x2 ≤ 15

5x1 + 2x2 ≤ 10

&         x1 ≥ 0, x≥ 0

[Ans. Max Z = 235/19, x1= 20/19, x2= 45/19]

 

  1. Maximize Z = 5x1 + 7x2

Subject to

x1 + x2 ≤ 4

3x1 - 8x2 ≤ 24

10x1 + 7x2 ≤ 35

&         x1 ≥ 0, x≥ 0

[Ans. Max Z = 28, x1= 0, x2= 4]

 

 

 

 

  1. Maximize Z = 2x1 + 4x2 + x3+ x4

Subject to

x1 + 3x2 + x4 ≤ 4

2x1 + x2 ≤ 3

x2 + 4x3 + x4 ≤ 3

&         x1 ≥ 0, x≥ 0, x≥ 0, x≥ 0

[Ans. Max Z = 13/2, x1= 1, x2= 1, x3= 1/2, x4= 0]

 

  1. Maximize Z = 7x1 + 5x2

Subject to

-x1 - 2x2 -6

4x1 + 3x2 ≤ 12

&         x1 ≥ 0, x≥ 0

[Ans. Max Z = 21, x1= 3, x2= 0]

 

  1. Maximize Z = 3x1 + 2x2

Subject to

2x1 + x2 ≤ 10

x1 + 3x2 ≤ 6

x1 + x2 ≤ 21

&         x1 ≥ 0, x≥ 0


Related Discussions:- Solve by simplex method

Data and information, Data and Information: The term "data" (plural fo...

Data and Information: The term "data" (plural form of datum) refers to "an individual fact, statistic, or a piece of information or a group or a body of facts, statistics or t

Sample linear programming problems to calculate max profit, The following l...

The following linear programming is written to plan the production of two products. And the company wants to maximize profits. x1 = number of product 1 produced in each batch

Linear programning, b. A paper mill produces two grades of paper viz., X an...

b. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y pape

Mathematical Model, What is meant by a mathematical model of a real situati...

What is meant by a mathematical model of a real situation? Discuss the importance of models in the solution of Operations research problems

Identify and comment on cultural similarities, You are required to analyse ...

You are required to analyse the case study, as indicated under these headings: 1. Identify FIVE persons, bodies, organisations or groups in the case study. 2. For EACH of the

Mathematical Model, What is meant by a mathematical model of a real situati...

What is meant by a mathematical model of a real situation? Discuss the importance of models in the solution of Operations research problems

Define franchising, Question 1) What are the advantages of retailing. Writ...

Question 1) What are the advantages of retailing. Write a brief note on retailing in India Question 2) Define franchising. What are the advantages and challenges of franch

Limitations of operational researchers, Among other limitations of O. R the...

Among other limitations of O. R the followings deserve mention: a. Basis: The operational researchers must be unbiased. An attempt to shoehorn result sin to a confirmation of ma

Sample survey methods:, Sample Survey Methods: If proposed investigati...

Sample Survey Methods: If proposed investigation is done  only on  a part taken  out of  universe then it  will be  known  as sample  survey. This  part of the universe is kno

Discuss the term group decision making, a. Determine the following with res...

a. Determine the following with respect to decision making approaches: (i) Group decision making (ii) Directive, analytic, conceptual and behavioral decision making styles (8

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd