Solve by simplex method, Operation Research

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

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







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
Related Questions
How can you integrate environmental concerns into production systems?

#question.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


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

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

how does it work

Construct a two-variable LP model that: · Maximizes Z; · All coefficients in the objective function are greater than 500; · Includes at least 5 constraints;

2.Assess the current environmental scan factors that are relevant to the decision making process. Determine the factors that will have the greatest impact on plant operations and m

Scope of the OR techniques can be derived in followings various importance fields: 1. In Agriculture : With the explosion of population and consequent shortage of food O

ONE SAMPLE  RUNS  TEST A number of  methods have been  developed fro  judging the randomness of samples on the basis of  the order in which  teh observations  are taken. It is