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

Need answer, A paper mill produces two grades of paper viz., X and Y. Becau...

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

#titleAssignment Problem.., Six Operators are to be assigned to five jobs w...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Research and development - information generation process, Research and Dev...

Research and Development: All intellectual activities consciously pursued and systematically completed generate useful information. Research (also Research and Development) is

Decision analysis models, These models deal with the selection of an opt...

These models deal with the selection of an optimal course of action given the possible pay offs and their associated probability of occurrence. These models are broadly

Need of research proposal, Need Proposals are written for various reas...

Need Proposals are written for various reasons. They are prepared for different reasons which vary to the extent of details expected, but like research reports, the proposal a

Big M mehod, source code in c available?

source code in c available?

Research, Discus and explain both probability and none probability sampling...

Discus and explain both probability and none probability sampling techniques

Important of demand forecasting, 1. Determination to enter a new territori...

1. Determination to enter a new territories. 2. To decide to enter a new market or not. 3. To determine how much production capacity to be builds up. 4. Helpful in

Job sequencing problem, on which basis we take value in time out time in co...

on which basis we take value in time out time in column?

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