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

One sample sign test - hypothesis testing , One Sample sign Test In...

One Sample sign Test In a one  sample  test the  null  hypothesis μ = μ 0 against an  appropriate alternative on the basis of a random sample of size n we replace each sam

Usefulness of correlation - correlation regression analysis, Usefulness of ...

Usefulness of Correlation 1.Correlation  is very  useful  to economists  to study  the relationship  between  variables  like  price  and quantity  demanded. To businessmen it

Linear Programming , A Paper mill produces two grades of paper viz. X and ...

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 in

Inventory control research, Given an inventory system where Yearly demand ...

Given an inventory system where Yearly demand = 120 units Ordering cost = Sh. 45 Price per unit = Sh. 200 Annual carrying cost = 24% of the unit cost Determine The economic or

Posson distribution - probability distribution , POSSON DISTRIBUTION ...

POSSON DISTRIBUTION   In binomial  distribution the value of n was  finite. But  there are few  problems  when  cannot  be estimated. So in these  binomial  distribution

Sope, sope of operations research in a detailed manner

sope of operations research in a detailed manner

Explain the process of problem identification with an exampl, Question ...

Question 1 Explain the process of problem identification with an example 2 Interview method involves a dialogue among the Interviewee and the Interviewer. Describe the inter

#title, WHOM DO YOU THINK RAJENDER WILL EAT WITH? WHY?

WHOM DO YOU THINK RAJENDER WILL EAT WITH? WHY?

Replacement theory.., a pipe lis dur for rpair,the repair would cost 10000 ...

a pipe lis dur for rpair,the repair would cost 10000 and it would last for 3 years.alternatively a new pipe line can be purchase at 30000 for 10 years.assuming 10% depriciation rat

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