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

Linear programming, 3. A paper mill produces two grades of paper viz., X an...

3. 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

Transportation and linear programming., #what is the similarity and differe...

#what is the similarity and difference between transportation and linear programing models?

Simplex solution, difference between simplex solution procedure for maximis...

difference between simplex solution procedure for maximisation and minimisation

Sample size in non propbability- sampling decisions, Sample Size in Non Pro...

Sample Size in Non Propbability The probability  selection does not apply  to purposive  selection. The size  of the  non  probability samples  is selected  in a subjective ma

Two sample tests- hypothesis testing, Two Sample Tests In some  situat...

Two Sample Tests In some  situation the researchers may be taking  statistical decisions based on two samples. Each  of the  two  samples may  represent a particular under con

Linear Programming Problem using Simple method, Solve the following Linear ...

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

Functions and objects of statistical average , Normal 0 false...

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

LPP, A paper mill prouduces two grads of paper viz., X and Y. Becouse of ra...

A paper mill prouduces two grads of paper viz., X and Y. Becouse of raw material restriction, it cannot product more then 400 tons of grade X paper and 300 tons of grade Y paper in

Help me please , This year Jan Rich, who is ranked number one in women''s s...

This year Jan Rich, who is ranked number one in women''s singles in tennis, and Marie Wacker, who is ranked number three, will play 4 times. If Marie can beat Jan 3 times, she will

Need of research proposal, Need Proposals are written for various reas...

Need Proposals are written for various reasons. They are prepared for different reasons which vary to the extent of details expected, but like research reports, the proposal a

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