Answering lp problems, Operation Research

Assignment Help:

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

 

 

 


Related Discussions:- Answering lp problems

Simple line graphs , Simple Line Graphs a. Simple  Histogram A simpl...

Simple Line Graphs a. Simple  Histogram A simple histogram  is a techniques  used  plotting  a time  series on the graph paper. The data are arranged according to  the time

Cgj, application&techniques

application&techniques

Scope, With practical example

With practical example

Non-governmental organisation, Name the feature which is not normally assoc...

Name the feature which is not normally associated with a Non-Governmental Organisation (NGO)?  Government funded is the organisation.

project management , Project Management Your  data need to be orga...

Project Management Your  data need to be organized in such  a way that  access to them  is both  quick  and accurate. In  achieving  this a good qualitative analysis progra

Action phase - phase of operation research, The action phase consists of ...

The action phase consists of making recommendations for remedial action to those who first posed the problem and who control the operations directly. These recommendatio

Simple random sampling - sampling decisions, Simple Random Sampling  ...

Simple Random Sampling  This  is  simplest  and most  popular  technique  of sampling. In it each  unit  of the  population has equal  chance  of being  included in the samp

Demerits of range - measure of dispersion , Demerits  of Range a.It g...

Demerits  of Range a.It gives  importance  to the  two  extreme  values and is very much affected by the extreme items. b.The range  provides  no information  about the  st

LPP, a paper mill produce two grades of paper viz., X and Y. because of raw...

a paper mill produce two grades of paper viz., X and Y. because of raw material restrictions, it cannot produce more than 400 tona of grade X and 300 tons of grade Yin a week. ther

Uses of mean deviation - measure of dispersion, Uses  of Mean  Deviation...

Uses  of Mean  Deviation Mean  Deviation  is rarely being used as a measure of dispersion. But  due to  easy  and  simplicity  in calculation. It  is rather  useful  in busin

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