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

Modi method, find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 3...

find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 32 40 40 30 35 using modi method

Line balancing methods - heuristic approach, Line Balancing Methods - Heuri...

Line Balancing Methods - Heuristic Approach  Heuristic mean serving to find i.e. to find out discover things for oneself. Heuristic describes a particular approach to problem so

Linear programming problem, A paper mill produces two grades of paper viz.,...

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

Semeter 5, explian completelly the operation reserch

explian completelly the operation reserch

Goal programming, Goal Programming This provides a more realistic model...

Goal Programming This provides a more realistic model. In a modern setting, profit maximization may not be the only objective of a business concern. Other objectives or goals c

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, Meaning of Linear programming problem and explanation o...

Meaning of Linear programming problem and explanation of graphical method of solving Linear Programming Problem

Lpp, a paper mill prodecs two grades of paper viz., X and Y. Because of raw...

a paper mill prodecs 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 in

Support - report writing presentation , Support Supporting materials  ...

Support Supporting materials  is vital for  making the presentation effective. It  clarifies the  speaker  ideas  makes  the presentation more  illuminating as well  as intere

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

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

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