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

Determining sample size for estimating means-sample decisons, Determining S...

Determining Sample Size for estimatingMeans a. Acceptable Errors: There  may be several errors  in the  sample  size. The researcher  will have  to decide those  errors. Whic

Convenience sampling - sampling decisions , Convenience  Sampling In...

Convenience  Sampling In  convenience  sampling  selection the researcher chooses the  sampling  units on the   basis of convince or  accessibility. It is  called  accidental

Simplex, Maximize Z = 2x - 7y subject -2x + 3y = 3 4x + 5y >= 10 6x + 7y 4...

Maximize Z = 2x - 7y subject -2x + 3y = 3 4x + 5y >= 10 6x + 7y 4x + 8y >= 5

LPP, A paper mill produces two grades of paper viz., X and Y. Because of ra...

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

Big M method, Maximize p = (3)x + 2y subject to 2x + y 3x + 4y >= 12

Maximize p = (3)x + 2y subject to 2x + y 3x + 4y >= 12

Model., is model the essence of oprational research.

is model the essence of oprational research.

OPTIMAL ASSIGNMENT., Six Operators are to be assigned to five jobs with the...

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

Operations research as a decision-making sci, Short Define operations resea...

Short Define operations research as a decision-making science

MINIMIZATION., Consider the LP min ?? = 50??1 + 100??2 3 ??.??. 7??1+2??2=2...

Consider the LP min ?? = 50??1 + 100??2 3 ??.??. 7??1+2??2=28 2??1+12??2=24 ??1,??2=0 a. A basic solution of the constraint equations of this problem has how many basic variables,

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

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