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

Vogel approximation methods, This method is more  systematic and orderly th...

This method is more  systematic and orderly than least cost method. Here penalties for each column and row of the transportation table are determined, and the row  or  column with

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

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

Characteristics, what are the characteristics of operation research

what are the characteristics of operation research

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

Action Phase, What is The proper meaning of action phase will u help me to ...

What is The proper meaning of action phase will u help me to lern it in deeply????

Biographies, Biographies, Handbooks and Dictionaries: Dictionaries: ...

Biographies, Handbooks and Dictionaries: Dictionaries: Dictionaries  primarily deal with all aspects of  words from  proper definitions to spellings. Webster's Third Ne

A paper mill, A paper mill products two grade of paper viz., X & Y. Because...

A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we

Linear Programming models, In your own words, describe the special cases of...

In your own words, describe the special cases of integer programming and binary programming: what makes these problems different? Give an example of each, pointing out why they mus

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