Post-optimal analysis, Operation Research

Assignment Help:

It can be seen from the optimal solution for the foundry problem that two resources, raw material-1 and labor, are exhausted whereas the other two resources, raw material-2 and foundry capacity, remain available. This implies that the availability of raw material-1 and labor are both exerting a restrictive effect on foundry operation and its profitability. Let us suppose, the foundry can buy the raw material-1 in the open market at a cost of Rs.15 per kg, then is it worth buying and increasing its production to make more profit? Similarly, if the foundry can hire extra labor for Rs.15 per day, then is it worth hiring the extra labor?

The above questions can be answered from the (Zj - Cj) values in the final tableau. The (Zj - Cj) value corresponding to variables S1, that is, column 6 is 20. This indicates that the profit can be increased by Rs.20 for a unit increase in the availability of raw material-1. Thus, if one kilogram of raw material-1 costs Rs.15, then by purchasing it and changing the product mix, the foundry can increase its profit by Rs.20 - Rs.15 = Rs.5. Similarly, the (Zj - Cj) value corresponding to the variable SL is 10 and this indicates that for a unit increase in the availability of labor, profit can be increased by Rs.10. Hence, it is worth hiring labor if its cost is less than Rs.10. Similarly, it is worth buying raw material-1 from open market, if its cost is less than Rs.20 per kg.

The information in the final tableau is also useful in studying the effects of the variations in the profit contributions on the product mix.


Related Discussions:- Post-optimal analysis

Characteristics of good average, Characteristics  of Good Average a. ...

Characteristics  of Good Average a. It should  be Rigidly  Defined  An average should  be rigidly defined so that  there is  no confusion  in regard  to its  meaning  and con

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

Manner of presentation - report writing presentation, Manner of Presentatio...

Manner of Presentation  Decide  whether  you wish  to achieve  your  objective by a formal  presentation or a  non formal  type  of presentation. As  discussed  earlier the

Usefulness of correlation - correlation regression analysis, Usefulness of ...

Usefulness of Correlation 1.Correlation  is very  useful  to economists  to study  the relationship  between  variables  like  price  and quantity  demanded. To businessmen it

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

LLP Simple method, Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0 on..

Cgj, application&techniques

application&techniques

Sing test- hypothesis testing, SING TEST The sign test  is the simples...

SING TEST The sign test  is the simplest  of the  parametric  tests. Its name comes  from the  fact  that it is based  on the direction ( or sings  for  pluses or minuses ) of

endalk

7/4/2013 1:07:39 PM

what is post-optimality

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