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

What do you understand by the term operations research, Question : (a) ...

Question : (a) (i) What do you understand by the term "operations research"? (ii) Discuss three common operations research models. (b) Self-service at the university c

Simplex method, Maximize Z =3x+4x subject to x1+x2 =3 2x1+3x2 =4 x1,x2 =0

Maximize Z =3x+4x subject to x1+x2 =3 2x1+3x2 =4 x1,x2 =0

Use of the graphs, Use  of the Graphs a . It simplifies  the complexi...

Use  of the Graphs a . It simplifies  the complexities of large numbers  or that of  large mass  of data. In general  graphical  or some  other method or representation  is ad

Transportation, we have three reservoirs with daily supplies of15, 20 and 2...

we have three reservoirs with daily supplies of15, 20 and 25 litres of fresh water respectively. on each day we must supply four cities A B C D whose demands are 8 10 12 and 15 res

Sequensing problem, job- 1 2 3 4 5 6 7 t1- 3 12 15 6 10 11 9 t2- 8 10 10...

job- 1 2 3 4 5 6 7 t1- 3 12 15 6 10 11 9 t2- 8 10 10 6 12 1 3

Model, Importance of models

Importance of models

Usage in the context of library and information services, Usage in the Cont...

Usage in the Context of Library and Information Services: In library and information science, there is, however, no need for making such distinction between data and informati

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Operations research 2, management wants to know how many supervisors should...

management wants to know how many supervisors should be hired, and what could be the optimum workload distribution to be applied, given a number of constraints

Periodical article - report writing presentation , Periodical Article ...

Periodical Article A periodical is a publication that is  published  periodically like  a newspaper a magazine  and a journal. Usually  periodicals have  volume numbers  and n

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