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

Integer programming, An integer programming problem is identical to a linea...

An integer programming problem is identical to a linear programming problem except that one or more decision variables are constrained to take integer values. Such problems cannot

Semeter 5, explian completelly the operation reserch

explian completelly the operation reserch

Chi square test - hypothesis testing, Chi Square Test ( X 2 ) Chi Squ...

Chi Square Test ( X 2 ) Chi Square Test Defined  the chi square test is one  simplest  and most  commonly  used non parametric tests in statistical work. The Greek letter X 2

Lpp linear programming problems exercise, Exercise Define the t...

Exercise Define the terms used in LPP. Mention the advantages of LPP. What are the assumptions and limitations of LPP? A firm produces three pro

Simple method, solve the LPP using simple method, maximize z= 3x1+2x2 subje...

solve the LPP using simple method, maximize z= 3x1+2x2 subject to constraints

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

Narrowing the research problem, NARROWING THE RESEARCH PROBLEM You h...

NARROWING THE RESEARCH PROBLEM You have read how from a general topic we have arrived at the definition of the problem to be studied. Now we have to narrow it down furthe

Introduction to Operations research, discuss applications and scope of oper...

discuss applications and scope of operations research in diverse areas.

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

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