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

LPP, USE SIMPLE METHOD TO SOLVE THE FOLLOWING LPP MAXIMISE Z=4X1+10X2 SUBJE...

USE SIMPLE METHOD TO SOLVE THE FOLLOWING LPP MAXIMISE Z=4X1+10X2 SUBJECT TO CONSTRAINS, 2X1+X2 2X1+5X2 2X1+3X2 X1, X2>0

Uses of range - measure of dispersion, Uses of Range a.Range is suitab...

Uses of Range a.Range is suitable  measure  of dispersion  when the  data are too  scattered to justify the  computation of a more precise  measure of dispersion. b.In rece

Liner proggraming , A paper mill products two grade of paper viz., X & Y. B...

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

Operation research, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y...

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

Disadvantages of mode - measure of central tendency , Disadvantages of Mode...

Disadvantages of Mode a.It is  ill defined. b.It is  indefinite  and it is  some cases impossible  to find a definite  value. c.It is not based on all observation. So  i

Cost- sampling decisons, Cost The  cost factor  is a very  importan...

Cost The  cost factor  is a very  important  factor in determining  the size of the  sample. The budget for research should be properly  decided. The management may not lik

Optimization , A company uses 4 pounds of resource 1 to make each unit of X...

A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only 150 pounds of resource 1 available. Which of the fo

#title.industry, scope of operation research in insutry and defence

scope of operation research in insutry and defence

Characteristics of good average, Characteristics  of Good Average a. ...

Characteristics  of Good Average a. It should  be Rigidly  Defined  An average should  be rigidly defined so that  there is  no confusion  in regard  to its  meaning  and con

Preparation of visual aids , Preparation of visual Aids ,Handouts and Feedb...

Preparation of visual Aids ,Handouts and Feedback Forms It is   always  better to prepare  visual  aids much  in advance of the presentation. Leaving  them for the  last mo

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