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

Software, role of computer software in operation research

role of computer software in operation research

Li, line drawn as Y=C+1075x, when x was 2, and y was 239, given that y inte...

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

Linear programming., The demand of ice cream during the three summer months...

The demand of ice cream during the three summer months (June, July, and August) at All-Flavors Parlor is estimated at 500,600, and 400 20-gallon cartons, respectively. Two wholesal

Calculation of standard deviation - continuous series, Calculation of Stand...

Calculation of Standard Deviation - Continuous Series: In the continuous series the methods of calculation standard deviation is almost the same as in a discrete frequency distrib

Least cost methods, The NW  corner  rule  described  earlier considers only...

The NW  corner  rule  described  earlier considers only  the availability  and supply  requirements  in making  assignments. It takes  no account  of the shipping  costs  given  in

Disadvantage of standard deviation - measure of dispersion, Disadvantage ...

Disadvantage  of standard Deviation It is not  easy  to understand  and calculate. It gives  more  weight  to the extremes  and less  to the items   nearer to mean. Since

Determine the optimal assignment., #questiSix Operators are to be assigned ...

#questiSix 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 ass

Methodology of operation research, The systematic methodology developed f...

The systematic methodology developed for an operation research study with problems involving conflicting multiple objective policies and alternatives. Operation research in

the simplex method, In large sized linear programming problems, the ...

In large sized linear programming problems, the solution cannot be obtained by the graphical method and hence a more systematic method has to be developed to find

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