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 page - report writing presentation, Title  Page Tthe title page...

Title  Page Tthe title page  should  indicate  the topic  on which  the report has been  prepared the  person  or agency who has  prepared it the  person  a agency for whom it

Linear programming, #questiA paper mill produces two grades of paper viz X ...

#questiA 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

Assignment 2012, Problem 1 (Problem 23, page 507) At a machine tool plant, ...

Problem 1 (Problem 23, page 507) At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the machine used to do the job. If a mac

Use of t -tables - hypothesis testing , Use of t -tables            ...

Use of t -tables            Similar  to normal  curve  tables  there  exist t- distribution  tables. However  whereas the properties of  the normal  curve are constant for all

Conclusions and recommendations , Conclusions and Recommendations  Con...

Conclusions and Recommendations  Conclusions  should  be drawn with  direct  reference to the objectives  of the study. The  readers should  be able  to read the objectives. T

Goal programming, A farmer in the Midwest has 1,000 acres of land on which ...

A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of la

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

Report writing - report writing presentation, REPORT WRITING The final...

REPORT WRITING The final step in research is to report the study  findings to those  who authorized the investigation. The American marketing association is  of the opinion  t

LInear Programming, - A paper mill produces two grades of paper viz., X an...

- 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 pape

Cost, Six Operators are to be assigned to five jobs with the cost of assign...

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

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