goal programming, Operation Research

Assignment Help:
A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and

soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of labor, and yields a

profit of $30. An acre of wheat costs $120 to prepare, requires IO worker-days of labor, and yields $40

profit. An acre of soybeans costs $70 to prepare, requires 8 worker-days, and yields $20 profit. The

farmer has taken out a loan of $80,000 for crop preparation and has contracted with a union for 6,000

worker-days of labor. A midwestern granary has agreed to purchase 200 acres of corn, 500 acres of

wheat, and 300 acres of soybeans. The farmer has estab­lished the following goals, in order of their

importance:

(I) To maintain good relations with the union, the labor contract must be honored; that is, the full

6,000 worker-days of labor contracted for must be used.

(2) Preparation costs should not exceed the loan amount so that additional loans will not have to be

secured.

(3) The farmer desires a profit of at least $105,000 to remain in good financial condition.

(4) Contracting for excess labor should be avoided.

(5) The farmer would like to use as much of the available acreage as possible.

(6) The farmer would like to meet the sales agreement with the granary. However, the goal should

be weighted according to the profit returned by each crop.

a. Formulate a goal programming model to determine the number of acres of each crop the farmer

should plant to satisfy the goals in the best possible way.

b. Solve this model by using the computer.

Related Discussions:- goal programming

Linear pograming, application area of linear programing problem

application area of linear programing problem

Linear programming problem, A paper mill produces two grades of paper viz.,...

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

Bibliography format - report writing presentation , Bibliography Format ...

Bibliography Format a. Introduction : Bibliographies  tell  readers  where they can  locate  information  about  a topic. It is a list of sources  of information  for a repo

Yates correction for continuity for 2x 2tables , Yates Correction for Cont...

Yates Correction for Continuity for  2x 2Tables If any cell frequency in  2x 2 table isles  than 5thenfor the application of X 2 test it  is pooled with the preceding or suc

QUANTITATIVE ANALYSIS, Ask queA manufacturing firm has discontinued product...

Ask queA manufacturing firm has discontinued production of a certain unprofitable product line. This created considerable excess production capacity. Management is considering to d

Identifying the solution to a problem, Software House named as Harvester, g...

Software House named as Harvester, got to increase the speed of service and I need to get 3000 words written

Method of calculation of mode - measure of central tendency , Method of cal...

Method of calculation of Mode Calculation  of Mode  Individual  series: For determining  mode count the  number of times the  various  values  repeat  themselves and the  va

Research methodology, In research methodology we not only discuss the res...

In research methodology we not only discuss the research methods but also consider the logic behind the method we use in the context of our research study and explain wh

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