Lpp linear programming problems exercise, Operation Research

Assignment Help:

Exercise

  1. Define the terms used in LPP.
  2. Mention the advantages of LPP.
  3. What are the assumptions and limitations of LPP?
  4. A firm produces three products. These products are processed on three different machines. The time required manufacturing one unit of each of the three products and the daily capacity of the three machines are given in the table.

Machine

Time per unit (mins)

Machine capacity

Min /day

Product 1

Product 2

Product 3

M1

2

3

2

440

M2

4

-

3

470

M3

2

5

-

430

 

It is required to determine the daily number of units to be manufactured for each product. The profit per unit for product 1, 2 and 3 is Rs. 4, Rs. 3 and Rs. 6 respectively. It is assumed that all the amounts produced are consumed in the market. Formulate the mathematical model for the model.

 

  1. A chemical firm produces automobiles cleaner X and polisher Y and realizes Rs. 10 profit on each batch of X and Rs. 30 on Y. Both products require processing through the same machines, A and B but X requires 4 hours in A and 8 hours in B, whereas Y requires 6 hours in A and 4 hours in B. during the fourth coming week machines A and B have 12 and 16 hours of available capacity, respectively. Assuming that demand exists for both products, how many batches of each should be produce to realize the optimal profit Z?

 

  1. A firm manufactures headache pills in two sizes A and B. Size A contains 2 grains of aspirin, 5 grains of bicarbonate and 1 grain of codeine. Size B contains 1 grain of aspirin, 8 grains of bicarbonate and 6 grains of codeine. It is formed by users that it requires at least 12 grains of aspirin, 74 grains of bicarbonate and 24 grains of codeine fro providing immediate effect. It is required to determine the least number of pills a patient should take to get immediate relief. Formulate the problem as a standard LPP.

 

 


Related Discussions:- Lpp linear programming problems exercise

Level of significance - hypothesis testing , Level of Significance I...

Level of Significance In testing a given  hypothesis  the maximum  probability with which  we would  be willing  to take  risk is called  level of  significance of the  test.

WEITING MODEL(QUEUING), CONSIDER A BARBER SHOP WITH ONE CHAIR, ONE BARBER A...

CONSIDER A BARBER SHOP WITH ONE CHAIR, ONE BARBER AND NO ROOM FOR CUSTOMER TO WAIT. IF THE CHAIR IS EMPTY WHEN THE CUSTOMER ARRIVES,HE ENTER THE SHOP AND HIS HAIR CUT BEGINS. IF TH

Linear programming, Solve the following Linear Programming Problem using Si...

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

Construction of a mathematical model, The 2 nd phase of operations Resear...

The 2 nd phase of operations Research is to construct a mathematical model representing the system under study. It requires the identification of both static and dynam

Purchasing power of customers, This is determined by disposable personal ...

This is determined by disposable personal income( personal income minus direct taxes and other deductions ). Some people suggest the use of discretionary income in place of

LPP, USE SIMPLE METHOD TO SOLVE THE FOLLOWING LPP MAXIMISE Z=4X1+10X2 SUBJE...

USE SIMPLE METHOD TO SOLVE THE FOLLOWING LPP MAXIMISE Z=4X1+10X2 SUBJECT TO CONSTRAINS, 2X1+X2 2X1+5X2 2X1+3X2 X1, X2>0

Discuss how theories is helpful researchers in communication, QUESTION 1 ...

QUESTION 1 i) What do you understand by the following terms? And what is their role in communication theories? Ontology Epistemology Axiology ii) Discuss how

Understandibg concepts, what are the preconceptions do you bring to the stu...

what are the preconceptions do you bring to the study of research

Model building, Model building is the essence of the operations research ap...

Model building is the essence of the operations research approach? Discuss. question #Minimum 100 words accepted#

Research and evaluation, - Please research and discuss this activity. (plea...

- Please research and discuss this activity. (please cite all of the websites) - Prepare a memo on the research and evaluation. What does research and evaluation mean? Ele

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