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

Disadvantages of mean deviation - measure of dispersion, Disadvantages of ...

Disadvantages of Mean Deviation a.Mean deviation ignores  the algebraic  signs of the deviations and  such it is  not capable  of further algebraic  treatment. b.It is  no

Mba , in a rectangular game pay off matrix of player a is as follows ...

in a rectangular game pay off matrix of player a is as follows B1 B2 A1 5 7 A2 4 0 salve the game write down the pay off matrix of B and then solve the ga

Lpp, Determine feasible space for x1-x2= 8

Determine feasible space for x1-x2= 8

Linear programming., The demand of ice cream during the three summer months...

The demand of ice cream during the three summer months (June, July, and August) at All-Flavors Parlor is estimated at 500,600, and 400 20-gallon cartons, respectively. Two wholesal

Knowledge - library and information services, Knowledge: The dictionar...

Knowledge: The dictionary definition of knowledge is 'organised body of information or the comprehension and understanding, consequent on having acquired an organised body of

Explain system control and security tools, 1. Explain the effects that MIS,...

1. Explain the effects that MIS, DSS, CRM and ERP have on organizational communication and decision making to increase productivity and efficiency in an increasingly competitive bu

Quartiles, QUARTILES The three points on the scale  of observation ( o...

QUARTILES The three points on the scale  of observation ( or  values  of the variable) which  divide  the total  frequency  into four  equal  parts are called  quartiles for t

Simplex, Maximize Z = 2x - 7y subject -2x + 3y = 3 4x + 5y >= 10 6x + 7y 4...

Maximize Z = 2x - 7y subject -2x + 3y = 3 4x + 5y >= 10 6x + 7y 4x + 8y >= 5

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Draw a network for the project adn determine the critical pa, a)Draw a netw...

a)Draw a network for the project. b)Determine the critical path. Activity Duration Activity Duration 1-2 15 5-10 22 1-3 13 6-9 33 1-4 1

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