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

Census method, Census Methods Complete Enumeration: If detail informat...

Census Methods Complete Enumeration: If detail information  regarding every individual  person  or item of a given   universe ( or  population ) is  collected then the  enquir

Modi method, find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 3...

find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 32 40 40 30 35 using modi method

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

Research analysis and project, Scenario: You work as a junior employee i...

Scenario: You work as a junior employee in the marketing department of a medium-sized Hong Kong organisation. One of your major tasks is your involvement in your organization's

Plz get the ans , #questioA paper mill produces two grades of paper viz., X...

#questioA 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

Binomial distriubiton - probability distribution , BINOMIAL DISTRIUBITON ...

BINOMIAL DISTRIUBITON This  distribution  (also known  as Bernoulli  distribution ) is useful  in such  an experiment where  there  are only two  outcomes success or failure g

Range - measure of dispersion , RANGE Range  is the difference  betw...

RANGE Range  is the difference  between  the highest  and the  lowest  value is  series. This is the simplest  absolute measure  of dispersion. Symbolically  : R= L- S

Dina, Construct a two-variable LP model that: · Maximizes Z; · ...

Construct a two-variable LP model that: · Maximizes Z; · All coefficients in the objective function are greater than 500; · Includes at least 5 constraints;

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