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

Explain research terminology, Q. Explain Research Terminology? Research...

Q. Explain Research Terminology? Research Terminology - Independent and Dependent variables: There are many practical problems in which the values of one variable depend upon t

Precentile - measure of central tendency , Normal 0 false fal...

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

Lpp linear programming problems exercise, Exercise Define the t...

Exercise Define the terms used in LPP. Mention the advantages of LPP. What are the assumptions and limitations of LPP? A firm produces three pro

lp-model and markov decision problem, The supply of a certain good is insp...

The supply of a certain good is inspected periodically. If an order is placed of size x >0 (integer), the ordering costs are 8+2. x. The delivery time is zero. The demand is stoc

Characteristics, what are the characteristics of operation research

what are the characteristics of operation research

Vam, how to solve it

how to solve it

Dynamic programming, A company is planning its advertising strategy for the...

A company is planning its advertising strategy for the next year for its three major products.

Ranganathan''s principles, Ranganathan's Principles: Perhaps it would ...

Ranganathan's Principles: Perhaps it would be worthwhile to consider the Five Laws of Library Science of Dr. S. R. Ranganathan as the basic guidelines for formulating the obje

formulate the optimality equations, Each day you own 0 or 1 stocks of cert...

Each day you own 0 or 1 stocks of certain commodity. The price of the stock is a stochastic process that can be modeled as a Markov chain with transition rates as follows

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