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

Software, role of computer software operation research

role of computer software operation research

Reference books - classification of documents, Reference Books: Defini...

Reference Books: Definition According to William  Katz (1969) a Reference book generally has the following qualities:  It is a miscellany of information organised for quick

Determine the optimal assignment, Six Operators are to be assigned to five ...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Linear programming , Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

LPP, A paper mill produces two grades of paper viz., X and Y. Because of ra...

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 paper i

Decision analysis, a question was given but i cannot identify the alternati...

a question was given but i cannot identify the alternatives and i do not know how to calculate the right amount of payoff.what are the right ways to calculate the payoff table.

Cross cultural communication in the workplace, This assignment requires you...

This assignment requires you to carry out the first part of a research project on the topic of "Cross cultural communication in the workplace". You can take any approach to this to

Range - measure of dispersion , RANGE Range  is the difference  betw...

RANGE Range  is the difference  between  the highest  and the  lowest  value is  series. This is the simplest  absolute measure  of dispersion. Symbolically  : R= L- S

Experimental design and methodology , Case Study - Experimental Design ...

Case Study - Experimental Design Dental Clinic A leading dental clinic  with  three well qualified  dentists is seriously  considering  keeping  in touch  with  its  pat

Data collection-requirement gathering methods, Data Collection / Requiremen...

Data Collection / Requirement Gathering Methods 1. Discuss about the data collection or requirements gathering methods that will be used to conduct the research. 2. Discus

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