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

Phases of an or project, give me an example of pre-modelling, modelling and...

give me an example of pre-modelling, modelling and post modelling phases

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Information resources, INFORMATION RESOURCES: Information resources ar...

INFORMATION RESOURCES: Information resources are of two kinds, namely, Documentary and Non-Documentary Sources. Documentary Sources: A document embodies thought. I

One sample tests- hypothesis testing , One Sample Tests The one sample...

One Sample Tests The one sample test is  applied  to a situation where  only a single sample ( one  sample) is taken from  a population in this test the researcher may  be tak

Multi stage sampling - sampling decisions, Normal 0 false fal...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

#title.industry, scope of operation research in insutry and defence

scope of operation research in insutry and defence

Game Theory, Task1:- A company is currently involved in negotiation with it...

Task1:- A company is currently involved in negotiation with its union on the upcoming wage contract. Positive signs in the table represent wage increase while negative sign represe

form of t- distribution - hypothesis testing , Form of t- Distribution ...

Form of t- Distribution 1. The students  t - distribution  like the  normal  distribution has bell shaped frequency  curve which is symmetrical. The only  parameter which  det

Replacement models - operation research model, These models are used whe...

These models are used when one must decide the optimal time to replace equipment for one reason or the other for instance, in the case of equipment whose efficiency dete

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