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

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

Survey method, This method involves a systematic and comprehensive study...

This method involves a systematic and comprehensive study of a particular community organization group etc, with a view to the analysis of a social problem and the presen

LPP, . A paper mill produces two grades of paper viz., X and Y. Because of ...

. 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

Deweys principle - information resources, Dewey's Principle: Melvil De...

Dewey's Principle: Melvil Dewey's principle states: "The best reading for the largest number at the least cost" According to this principle a library should select, within the

Evolutionary methods, This methods studies development from simpler forms...

This methods studies development from simpler forms through a long series of a small change. Each change by itself results in minor modification in the phenomenon but the

Techniques of operations research, There is no unique set of problems which...

There is no unique set of problems which can be solved by using operations Research Models r techniques. Several operations Research Models or techniques can be grouped into some b

Linear programming problem, A paper mill produces two grades of paper viz....

A paper mill produces two grades of paper viz., X and Y. Because of raw each) material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of g

Categories of information in social sciences, Categories of Information in ...

Categories of Information in Social Sciences: It would be useful, particularly in social sciences, to group information into three categories:  •  Statistical Information

Software, role of computer software operation research

role of computer software operation research

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