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

Students t distribution - hypothesis testing, Normal 0 false ...

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

ANSWER OF PROBLEM RELATING TO PERT AND CPM., ANSWER OF ACTIVITY WITH THEIR ...

ANSWER OF ACTIVITY WITH THEIR PRECEDING ACTIVITY AND DURATION OF TIME IN WEEKS?

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

Calculate, A paper mill produces two grades of paper viz X and Y. Because o...

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

Small sample - hypothesis testing , Small Sample The central limit ...

Small Sample The central limit  theorem does not work well  with small  samples  even if  the  population  in non Gaussian. So  we cannot  rely on the central limit theorem

Uses of range - measure of dispersion, Uses of Range a.Range is suitab...

Uses of Range a.Range is suitable  measure  of dispersion  when the  data are too  scattered to justify the  computation of a more precise  measure of dispersion. b.In rece

Mccolvin''s principles, McColvin's Principles: L.R McColvin advanced h...

McColvin's Principles: L.R McColvin advanced his Demand and Supply Theory of Book Selection in 1925. He states, "Books in themselves are nothing. They have no more meaning tha

Understandibg concepts, what are the preconceptions do you bring to the stu...

what are the preconceptions do you bring to the study of research

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