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

Simple line graphs , Simple Line Graphs a. Simple  Histogram A simpl...

Simple Line Graphs a. Simple  Histogram A simple histogram  is a techniques  used  plotting  a time  series on the graph paper. The data are arranged according to  the time

Dynamic programming models, Dynamic programming may be considered thoutgr...

Dynamic programming may be considered thoutgrowth of mathematical programming and involves the optimization of multistage( sequence of inter related decisions) decision process

Summary report - report writing presentation, Summary  Report The  r...

Summary  Report The  report  format  suggested  above  does  not  contain  any  summary  section. This exclusion  is deliberate. The summary  should  not be  prepared until t

#title, WHOM DO YOU THINK RAJENDER WILL EAT WITH? WHY?

WHOM DO YOU THINK RAJENDER WILL EAT WITH? WHY?

Decision Analysis, make a research project for modern day companies on how...

make a research project for modern day companies on how they can make decisions using decision analysis

LINEAR PROGRAMMING, A DRUG MANUFACTURER produces 2 products X1 and X2.X1 ne...

A DRUG MANUFACTURER produces 2 products X1 and X2.X1 needs 2 hours on machine A AND 2 HOURS ON MACHINE B.X2 needs 3 hours on machine A and 1 hour on machine B.If machine A can run

What is critical defect, Question 1 What is intrinsic quality? Explain key...

Question 1 What is intrinsic quality? Explain key dimensions of a quality product or service Question 2 Explain any five sources of standards Question 3 What is Critical

Operation research, Discuss the methodology of operation research

Discuss the methodology of operation research

Assignment SMU, A paper mill produces two grades of paper viz., X & Y. Bec...

A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.

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