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

Advantages of operations research, Operation Research may be regarded as a...

Operation Research may be regarded as a tool which is utilized to increase the effectiveness of the management decisions. O R is objective supplement to the subjective feeling

LINEAR PROGRAMMING, b. A paper mill produces two grades of paper viz., X an...

b. 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 pape

Important to theoretical distribution , Important to Theoretical Distributi...

Important to Theoretical Distribution The science  of theoretical distribution  under which  the frequencies of a variable are derived by  some  mathematical  model  without

Answering lp problems, ABC Company manufactures both interior and exterior ...

ABC Company manufactures both interior and exterior paints from 2 raw materials M1 and M2. The following table gives basic data of problem.     Exterior

Research, Discus and explain both probability and none probability sampling...

Discus and explain both probability and none probability sampling techniques

Effect of professional development on class management, Purpose: The pu...

Purpose: The purpose of this study is to explore the effect of professional development on teachers' Lesson Planning, Class Management, Teaching Methods, Cooperation and Teac

Research methodology, The influence of daily life of keeping dogs Part ...

The influence of daily life of keeping dogs Part a) Qualitative data analysis: These activities are aimed at developing skills in basic qualitative data analysis Inte

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

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

Solve the following linear programming graphically, Problem based on graphi...

Problem based on graphical solution of a given LPP when feasible region is bounded. 1.    Solve the following linear programming graphically; Maximize and minimize z = 60x+

Transpotation problem, a manufacture wants to ship 8 loads of his product a...

a manufacture wants to ship 8 loads of his product as shown below. The matrix gives the mileage from origin to the destination D. Origin Destination Available A B C X 50 30 220

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