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

Ranganathan''s principles, Ranganathan's Principles: Perhaps it would ...

Ranganathan's Principles: Perhaps it would be worthwhile to consider the Five Laws of Library Science of Dr. S. R. Ranganathan as the basic guidelines for formulating the obje

Probability and non probability sampling , Probability and Non  Probability...

Probability and Non  Probability Sampling The following s are some  of the  considerations for the  selection  of probability  an non  probability  sampling. 1.Sometimes p

Rehearse - report writing presentation , Rehearse Making  presentat...

Rehearse Making  presentation is not  simple. It  is extremely  important  for us  to realize the sanctity of rehearsing  to improve the quality of the presentation. Unless

How to solve operation research optimization questions, how to solve operat...

how to solve operation research optimization questions

Linear programming, A paper mill produces two grades of paper viz., X and Y...

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

Replacement theory.., a pipe lis dur for rpair,the repair would cost 10000 ...

a pipe lis dur for rpair,the repair would cost 10000 and it would last for 3 years.alternatively a new pipe line can be purchase at 30000 for 10 years.assuming 10% depriciation rat

Cpm/pert, how to make an attractive assignment

how to make an attractive assignment

Graphical solution procedure, Graphical Solution Procedure sample assignmen...

Graphical Solution Procedure sample assignment and solved questions, free examples and solved homework samples for Graphical Solution Procedure in operation research. Question

Dynamic programming models, Dynamic programming may be considered thoutgr...

Dynamic programming may be considered thoutgrowth of mathematical programming and involves the optimization of multistage( sequence of inter related decisions) decision process

User groups - information resources, User Groups: The next step would ...

User Groups: The next step would be to identify more specifically the potential user groups. This may be done on the basis of interviews, questionnaires, study of organisation

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