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

B. A paper mill produces two grades of paper viz., b. A paper mill produces...

b. 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

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

Fromulation of LPP, A paper mill produces two grades of paper viz., X and ...

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 ot grade Y paper in

Classification of documents by information characteristics , Classification...

Classification of documents by information Characteristics: The schemes of classification advocated by Hanson and Grogan are mainly based on the information characteristics of

Methods of survey and study, Methods of Survey and Study:   Some method...

Methods of Survey and Study:   Some methods of collecting information about the organisation and about the information requirement of potential users are mentioned below. No si

Graphical method- minimization example, Minimization Example  A ...

Minimization Example  A farmer is advised to utilize at least 900 kg of mineral A and 1200 kg of mineral B to increase the productivity of crops in his fields.

Summary report - report writing presentation, Summary  Report The  r...

Summary  Report The  report  format  suggested  above  does  not  contain  any  summary  section. This exclusion  is deliberate. The summary  should  not be  prepared until t

Research, Regression line drawn as Y=C+1075x, when x was 2, and y was 239, ...

Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual#

Model building, model building is the essence of the operational research d...

model building is the essence of the operational research discuss

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