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

Web based emergency operations center, You are the emergency manager for Ch...

You are the emergency manager for Cheyenne County in a western state. Cheyenne County is located mid-way between two major urban areas and has historically been a rural county. The

Correlation - correlation & regression analysis, Normal 0 false...

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

Steps of field study, Festinger and Katz have described followings six ste...

Festinger and Katz have described followings six steps in the conduct to a field study. a. Preliminary Planning :Deciding scope and objectives of study and the time table

HOMEWORK, A company uses 4 pounds of resource 1 to make each unit of X1 and...

A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only 150 pounds of resource 1 available. Which of the fo

Manufacturing operation , You are a manager at a medium sized manufacturing...

You are a manager at a medium sized manufacturing operation that sells a customized product directly to the consumers and the data pattern is linear but it can have the occasion ra

Dynamic programming, A company is planning its advertising strategy for the...

A company is planning its advertising strategy for the next year for its three major products.

Linear programming, Ask question #Minimum 100 words acceptNas food produces...

Ask question #Minimum 100 words acceptNas food produces to kinds of popular dark chocolate bars. the banana and coffee. the banana bar costs 0.22 to make and sells of 0.35, where a

Determination of objectives and values, In the judgement phase due care ...

In the judgement phase due care must be given to define correctly the frame of references of the operation. Objectives and values, whether economic social or aesthetic shoul

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