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

Scope and concept, Explian scope and concept of Operations research?

Explian scope and concept of Operations research?

Applications of statistics in management, In a business, statis...

In a business, statistics is used to study the demand and market characteristics of the product or service being sold. In fact, market research

Stepping stone method, This is a  procedure of determining  the potential i...

This is a  procedure of determining  the potential if any for improving each  of the non basic variables in terms of the objective function. To determine  this  potential  each of

Linear programming , #quesQuestion. a paper mill produces two grades of pa...

#quesQuestion. a paper mill produces two grades of paper viz.,xand y.Bacause of raw material restrictions, it cannot produce more than 400 tones of grade x paper and 300 tons of g

Quality circles, advantage of quality circle process

advantage of quality circle process

Linear progaming, #questA paper mill produces two grades of paper viz., X a...

#questA 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 p

Meaning of a research report, Problem The important task ahead of the r...

Problem The important task ahead of the researcher is to document the entire work done in the form of a well-structured research report. Describe in brief the components of a R

First paper, discuss the seauencing decision problem for n jobs on two and ...

discuss the seauencing decision problem for n jobs on two and three machines

Necessity of operations research, After having studied as to what is op...

After having studied as to what is operations research we shall now try to answers why its need has been felt by the industry. As already tainted out science of OR came

Overview of writing research proposal, Overview of Writing Research Proposa...

Overview of Writing Research Proposal It may be written in words of the researcher or as answers following the guidelines provided by the sponsoring organization. A review of

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