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 , 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 pa

Answering question to find shortest path, Answering Question to Finding Sho...

Answering Question to Finding Shortest Path - Operation Research Assignment Help Finding answers for shortest path problems are quite interesting and not easy to solve. In solv

Individual user interests - information resources, Individual User Interest...

Individual User Interests: More specific information about users could cover the following:  Subjects and associated interest - e.g. specific subjects, allied subjects;

Phase of operation research, The scientific method in O R study generall...

The scientific method in O R study generally involves the followings three phases: 1. Judgment phase, 2. Research phase 3. Action phase

Network models, These models are applied to the management ( planning con...

These models are applied to the management ( planning controlling and scheduling ) of large scale projects. PERT/ CPM techniques help in identifying potential trouble spots in

Assignment problems, Six Operators are to be assigned to five jobs with the...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Development of lp problems, A company manufactures 2 kinds of hats. Each ha...

A company manufactures 2 kinds of hats. Each hat of the I type needs twice as much as labour time as the II type. The company can manufacture a sum of 500 hats a day. The market re

Quantitative Technique for business, Davidson construction company is build...

Davidson construction company is building a luxury lakefront home in batangas coordination of the architech an sub contractors will require a major effort to meet the 44-week (appr

Queuing theory, A certain type of machine breaks down at an average rate of...

A certain type of machine breaks down at an average rate of 5/hour. the break down is in accordance with Poisson process.cost of idle machine hour is $15/hour. 2 repairmen Peter an

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