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

Simplex solution, difference between simplex solution procedure for maximis...

difference between simplex solution procedure for maximisation and minimisation

Linear programming, 3. A paper mill produces two grades of paper viz., X an...

3. 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

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

Components included in the reseach proposal, Components Included in the Pro...

Components Included in the Proposal Personnel In case the proposal is addressed to the funding agencies, the qualifications of the key project personnel for study should be

ASSIGNMENT ANSWER, Six Operators are to be assigned to five jobs with the c...

Six 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 assignment

Study the case and provide an alternative compensati, #queStudy the case an...

#queStudy the case and provide an alternative compensation design, which would redress the problem faced by the two- wheeler major in Chennai.stion..

Determine the weekly demand and lead time, Family Application specialises i...

Family Application specialises in selling major appliances for use in kitchen remodelling.  One of its more popular items is the SubZero refrigerator.  Over the past 40 weeks, the

Lpp, a paper mill prodecs two grades of paper viz., X and Y. Because of raw...

a paper mill prodecs 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 in

Inventory models - techniques of operations research, Inventory models deal...

Inventory models deal with the problem of determination of how much to order at a point in time and when to place an order. The main objective is to minimize the sum of three

Operation research, types of OR ,technique and mathematical system and line...

types of OR ,technique and mathematical system and linear programming system in operation research

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