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

Linear programming, How do I set this problem up for Excel: A National Cred...

How do I set this problem up for Excel: A National Credit Union has $250,000 available to invest in a 12 month commitment. The money can be placed in Treasury notes yielding an 8%

Answering question to find shortest path, Answering Question to Finding Sho...

Answering Question to Finding Shortest Path - Operation Research Assignment Help Finding answers for shortest path problems are quite interesting and not easy to solve. In solv

Problems based on lpp when feasible region is unbounded, Problems based on ...

Problems based on LPP when feasible region is unbounded.     1.    Minimize z = 3x + 5y subject to constraints  X + y ≥ 2 X + 3y ≥ 3 X, y ≥ 0 script

Linear programming problem, A paper mill produces two grades of paper viz.,...

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

Disadvantages of mode - measure of central tendency , Disadvantages of Mode...

Disadvantages of Mode a.It is  ill defined. b.It is  indefinite  and it is  some cases impossible  to find a definite  value. c.It is not based on all observation. So  i

Solve lpp question graphically, A producer of furniture manufactures two pr...

A producer of furniture manufactures two products - tables and chairs. Processing of these products is done on two machines A and B. A chair needs 2 hours on machine A and 6 hours

Why the dual formulation?, Dual formulation is done for a number of r...

Dual formulation is done for a number of reasons. The solution to a Dual problem provides all essential information about the solution to the Primal problem. A so

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