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

Posted Date: 7/5/2012 1:54:15 AM | Location : United States

Ask an Expert

Related Discussions:- Solve by simplex method, Assignment Help, Ask Question on Solve by simplex method, Get Answer, Expert's Help, Solve by simplex method Discussions

Write discussion on Solve by simplex method
Your posts are moderated

Write your message here..

Related Questions

Question, Solve the following Linear Programming Problem using Simple metho... 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

Decision analysis, a question was given but i cannot identify the alternati... a question was given but i cannot identify the alternatives and i do not know how to calculate the right amount of payoff.what are the right ways to calculate the payoff table.

Or, .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

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

Making decision - hypothesis testing, Making Decision Lastly a deci... Making Decision Lastly a decision  should  be arrived as to whether the null  hypothesis is  to be accepted  or rejected. In  this regard the value  of the test  statistic

Simple size -sampling decisions, simple Size When a survey  is underta... simple Size When a survey  is undertaken and  it is not  possible  to cover  the entire population, the marketing  researcher has to  answer a basic  question  - how  large  s

BIG M, minimization minimization

Inventory management, models of inventory management models of inventory management

Operation Research.., 3. Explain ‘Vogel Approximation Model (VAM)’.? answer... 3. Explain ‘Vogel Approximation Model (VAM)’.? answer please

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;