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, mile-high microbrewery makes a light beer and a dark be...

mile-high microbrewery makes a light beer and a dark beer. mile-high has a limited supply of barley, limited bottling capacity, and a limited market for light beer. profits are $0.

Explain the process of problem identification with an exampl, Question ...

Question 1 Explain the process of problem identification with an example 2 Interview method involves a dialogue among the Interviewee and the Interviewer. Describe the inter

Probability and non probability sampling , Probability and Non  Probability...

Probability and Non  Probability Sampling The following s are some  of the  considerations for the  selection  of probability  an non  probability  sampling. 1.Sometimes p

Linear programming , Solve the following Linear Programming Problem using S...

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

Op, A paper mill produces two grades of paper viz., X and Y. Because of raw...

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

Strategies and od intervention techniques, QUESTION 1 Change strategies...

QUESTION 1 Change strategies and OD intervention techniques follow from diagnosis. An inappropriate intervention due to a faulty diagnosis may be very costly to an organization

Environmental demands, Problem 1 Explain the key elements, which contri...

Problem 1 Explain the key elements, which contribute to a sound and effective strategy. >>Explanation of following elements Market Consumers Competition Skil

Techniques, explain the different techniques as operation research

explain the different techniques as operation research

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

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