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

Assignment 2012, Problem 1 (Problem 23, page 507) At a machine tool plant, ...

Problem 1 (Problem 23, page 507) At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the machine used to do the job. If a mac

Using software for analysis grouping, Using   Software for Analysis Group...

Using   Software for Analysis Grouping and Displaying Data   to Convey Meaning Normal 0 false false false EN-IN X-NONE X-NONE

A paper mill, A paper mill products two grade of paper viz., X & Y. Because...

A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we

Types of correlation - correlation & regression analysis, Types of Correlat...

Types of Correlation 1. Positive Correlation : When the values  of two variables move  in the  same direction .e.  when an increase in  the values  of one  variables  is ass

Higher order table, Higher Order  Table   When  three  or more  charac...

Higher Order  Table   When  three  or more  characteristics are represented in the same  table such a table  is called  higher order table. The  need  for such  a table arises

Simplex method, Solve the following Linear Programming Problem using Simple...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Simplex method, Solve the following Linear Programming Problem using Simple...

Solve the following Linear Programming Problem using Simplex method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

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

Liner programming problem, A constraints in an LPP restricts? (Value of obj...

A constraints in an LPP restricts? (Value of objective function,Value of decision variable,Use of available resources, uncertainty of optimum value) please help me to find out righ

What is the temperature of water leaving the chillier, A water chillier wit...

A water chillier with a capacity of 30 TR cools 20 m 3 /hr. water entering at 12 o C what is the temp. of water leaving the chillier. A reversible engine has an ideal thermal ef

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