Answering lp problems, Operation Research

ABC Company manufactures both interior and exterior paints from 2 raw materials M1 and M2. The following table gives basic data of problem.

 

 

Exterior paint

Interior paint

Availability

N1

6

4

24

N2

1

2

6

Profit per ton

5

4

 

A market survey signifies that every day demand for interior paint cannot surpass that for exterior paint by more than 1 ton. Also maximum routine demand for interior paint is 2 tons. Develop LPP to find out the top product mix of interior and exterior paints that maximizes the daily total gain (profit).

Answer

Assume

 x1 - number of units of exterior paint

      x2 - number of units of interior paint

 

Maximize Z = 5x1 + 4x2         

Subject to

6x1 + 4x2 ≤ 24

x1 + 2x2 ≤ 6

x2 - x1≤ 1

x2≤ 2

                 x1≥0, x2 ≥0

 

b) The highest routine demand for exterior paint is almost 2.5 tons

                 x1≤ 2.5

c) Routine demand for interior paint is as a minimum 2 tons

                 x2 ≥ 2

d) Routine demand for interior paint is accurately 1 ton more than that for exterior paint.

                 x2 > x1 + 1

 

 

 

Posted Date: 7/4/2012 3:12:31 AM | Location : United States







Related Discussions:- Answering lp problems, Assignment Help, Ask Question on Answering lp problems, Get Answer, Expert's Help, Answering lp problems Discussions

Write discussion on Answering lp problems
Your posts are moderated
Related Questions
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

. 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

Briefly discuss the concept of Reporting Entity in SAC 1 How asset is defined and recognised under the AASB Framework? Silver Developers Ltd is a property development company

Problem based on graphical solution of a given LPP when feasible region is bounded. 1.    Solve the following linear programming graphically; Maximize and minimize z = 60x+

SOLVE THE FOLLOWING LP USING SIMPLE METHOD MAXIMIZE Z=3X1+2X2 SUBJECT TO CONSTRAINT X1+X2 X1-X2 X1,X2>=0

#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 grad

Meaning of Linear programming problem and explanation of graphical method of solving Linear Programming Problem

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

Advantages of Standard  deviation a.Standard  deviation is based on all the observations and is rigidly  defined. b.It is  amenable to algebraic  treatment  and possesses

Introduction to Probability Distribution By  theoretical distribution we mean  a frequency distribution  which  is obtained  in relation to a random  variable by some  mathem