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 programming, Meaning of Linear programming problem and explanation o...

Meaning of Linear programming problem and explanation of graphical method of solving Linear Programming Problem

Formulate this as a Linear Programming Problem, A paper mill produces two g...

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 pa

Tables and graphs, Normal 0 false false false EN-IN ...

Normal 0 false false false EN-IN X-NONE X-NONE

Analyzing marketing problems and cases , Cases are generally based on certa...

Cases are generally based on certain issues and problems. Diagnostic, analytical and decision making skills help in case solution. A case study or case based assessment is designed

.sequencing problem, which job should proceed first among the 2 jobs on n ...

which job should proceed first among the 2 jobs on n machines by graphical method

Operation research, Discuss the methodology of operation research

Discuss the methodology of operation research

Some guidelines for bibliography entries , Some Guidelines  for Bibliograp...

Some Guidelines  for Bibliography Entries 1. Reference of a Back  by One Authors : Mention authors  name book title ( in italics hence  to be  underlined) city  publication

Scope, explain the significant and scope of operation research in scientifi...

explain the significant and scope of operation research in scientific management

Usage in the context of library and information services, Usage in the Cont...

Usage in the Context of Library and Information Services: In library and information science, there is, however, no need for making such distinction between data and informati

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