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, x2  ≥ 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, x2  ≥ 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, x2  ≥ 0, x3  ≥ 0, x4  ≥ 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, x2  ≥ 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, x2  ≥ 0


Related Discussions:- Solve by simplex method

Linear Programming, b. A paper mill produces two grades of paper viz., X an...

b. 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

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

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

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

Game thoery, In a rectangular game, pay-off matrix of player A is as follow...

In a rectangular game, pay-off matrix of player A is as follows: i) Solve the game. ii) Write down the pay-off matrix of B and then, solve the game.

Rules regarding the table structure, Rules  Regarding the Table  Structur...

Rules  Regarding the Table  Structure a. Table Number: When a number  of tables  are constructed serial number of the tables  should  be given  to each table. b. Title Th

North west corner rule, North West Corner Rule for Initial Solution: Now ...

North West Corner Rule for Initial Solution: Now by applying North West corner rule we can initial solution. According to this rule without regard to cost consideration the

Regression Analysis, regression line drawn as Y=C+1075x, when x was 2, and ...

regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

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

QNT, A paper mill produces two grades of paper viz., X and Y. Because of ra...

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