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

#title. solution, Solve the following Linear Programming Problem using Simp...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2

Observation and data collection - research phases, Observation and Data Col...

Observation and Data Collection for Better Understanding of the Problem: Many times actual observations by trained observers at the scene of operation may be difficult and da

Linear programming, Q3. Solve the following Linear Programming Problem usi...

Q3. 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

Mr Diwakar, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUS...

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

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

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

Simulation models - operation research model, These models are used to dev...

These models are used to develop a method to evaluate the merit of alternative courses or action by representing with a mathematical model of the problems where various variab

Linear Programming , A Paper mill produces two grades of paper viz. X and ...

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 in

Modeling process, What are the basic 5 elements of modeling process

What are the basic 5 elements of modeling process

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