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

MB0048, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUSE OF...

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

Job sequencing problem, on which basis we take value in time out time in co...

on which basis we take value in time out time in column?

Z-test - hypothesis testing, Z-Test Prof. Fisher has  given a method  of...

Z-Test Prof. Fisher has  given a method  of testing the significance of the correlation coefficient in small  samples. According  to this method the  coefficient of correlation

Sources of hypothesis - hypothesis testing, Sources of Hypothesis Hyp...

Sources of Hypothesis Hypothesis  may be developed from  various  sources. Some  of the important  sources are  the  followings: 1. A Hypothesis  Arises from  Intuition

Correlation - correlation & regression analysis, Normal 0 false...

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

Operation Research, Significance & scope of operation research in modern ma...

Significance & scope of operation research in modern management

Concept of reporting entity, Briefly discuss the concept of Reporting Entit...

Briefly discuss the concept of Reporting Entity in SAC 1 How asset is defined and recognised under the AASB Framework? Silver Developers Ltd is a property development company

Least cost methods, The NW  corner  rule  described  earlier considers only...

The NW  corner  rule  described  earlier considers only  the availability  and supply  requirements  in making  assignments. It takes  no account  of the shipping  costs  given  in

Mr Diwakar, A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUS...

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

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