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

BIG M, minimization minimization

Assignment, Six Operators are to be assigned to five jobs with the cost of ... Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Deviation taken from assumed mean, Deviation Taken from Assumed Mean ... Deviation Taken from Assumed Mean This methods  is assorted  when the  arithmetic  average  is a  fractional value. Taking  deviation from  fractional value would  be a ver

Help, A paper mill produces two grades of paper viz., X and Y. Because of r... 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

ASSIGNMENT, #A paper mill produces two grades of paper viz., X and Y. Becau... #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

On the basis of ratio of change direction, On the  Basis  of Ratio of Ch... On the  Basis  of Ratio of Change  Direction   a. Linear Correlation: The  correlation  between  two variables a said  to be liner if  corresponding  to a unit change in th

Research and evaluation, - Please research and discuss this activity. (plea... - Please research and discuss this activity. (please cite all of the websites) - Prepare a memo on the research and evaluation. What does research and evaluation mean? Ele

Characteristic of operation research, explain characteristic of operation o... explain characteristic of operation of research.

Problem, 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

OPERATIONS RESEARCH, Discuss the methodology of operation research Discuss the methodology of operation research