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

Answering question to find shortest path, Answering Question to Finding Sho...

Answering Question to Finding Shortest Path - Operation Research Assignment Help Finding answers for shortest path problems are quite interesting and not easy to solve. In solv

Examine the future sustainability of business, In your role as a Consultant...

In your role as a Consultant to a renowned organisation or institution, you have been asked to design and submit a research proposal to examine the future sustainability of its bus

Linear programming simplex method, How to solve linear programming problems...

How to solve linear programming problems using simplex method introducing slack variable,surplus variable and artificial variable

Sequencing, how the sequencing techniques help the manager

how the sequencing techniques help the manager

Linear programming, #questiA paper mill produces two grades of paper viz X ...

#questiA 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

Periodicals and serials - classification of documents, Periodicals and Seri...

Periodicals and Serials: Periodical publications form an important part of today's information world. It is one of the oft chosen forms of research communication. There are ov

Determine capacity of unit, Show simple vapour compression Refrigeration cy...

Show simple vapour compression Refrigeration cycle with showing all the devices and also draw T-sand P-R diagram and illustrate it also. A Bell-Coleman cycle works between 1 bar

Operation Research Models, Explain the classification of models 1. Classifi...

Explain the classification of models 1. Classification by function or uses 2. Classification by degree of qualification 3. Classification by physical characteristics 4. Classidicat

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