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

Describe states-transitions and transition rate, Customers arrive to a supe...

Customers arrive to a super market according to a Poisson process with intensity V = ½  per minute. The supermarket has two counters, that use a common queue. Counter 1 is always o

Using software for analysis grouping, Using   Software for Analysis Group...

Using   Software for Analysis Grouping and Displaying Data   to Convey Meaning Normal 0 false false false EN-IN X-NONE X-NONE

Markert reseach, The Upjohn Company, based in Kalamazoo, Michigan, manufact...

The Upjohn Company, based in Kalamazoo, Michigan, manufactures and markets pharmaceuticals and health-related products. With more than 19,000 employees and distribution in over 30

Or, meaning,significance of operations research in bussiness management?

meaning,significance of operations research in bussiness management?

Cgj, application&techniques

application&techniques

#title.sum., a company produces 150 cars. but the production rate varies wi...

a company produces 150 cars. but the production rate varies with the distribution.

Problems based on lpp when feasible region is a line segment, Problems base...

Problems based on LPP when feasible region is a line segment or it does not exist. 1.    Maximize z = 2x+3y subject to the constraints X + y ≤ 1 X + y ≥ 3 X,  y ≥ 0

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