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

Linear programing, main components of a linear programming

main components of a linear programming

Que, #queSix Operators are to be assigned to five jobs with the cost of ass...

#queSix Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assign

Principles of construction of research tool, Principles of Construction of ...

Principles of Construction of Research Tool Content of research tool should be based on aims and need of research problem: The questioning words must be concise compreh

#title.industry, scope of operation research in insutry and defence

scope of operation research in insutry and defence

RJR NABISCO, WOULD YOU RECOMMEND FOCUS GROUPS OR SOME OTHER RESEARCH DESIGN...

WOULD YOU RECOMMEND FOCUS GROUPS OR SOME OTHER RESEARCH DESIGN IN THIS SITUATION

Probability distribution , Normal 0 false false false E...

Normal 0 false false false EN-IN X-NONE X-NONE PROBABILITY DISTRIBUTION

ASSIGNMENT, #A paper mill produces two grades of paper viz., X and Y. Becau...

#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

Transportation and assignment problem, What are the computer applications o...

What are the computer applications of transportation and assignment problem

Operation Research.., 3. Explain ‘Vogel Approximation Model (VAM)’.? answer...

3. Explain ‘Vogel Approximation Model (VAM)’.? answer please

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