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

Application of operation reserch., how i make project report on "applicatio...

how i make project report on "application of or".i want help from you.can you give me idea to complete this report..

LPP, A paper mill prouduces two grads of paper viz., X and Y. Becouse of ra...

A paper mill prouduces two grads of paper viz., X and Y. Becouse of raw material restriction, it cannot product more then 400 tons of grade X paper and 300 tons of grade Y paper in

Information resources - selection principles, INFORMATION RESOURCES - SELEC...

INFORMATION RESOURCES - SELECTION PRINCIPLES: Selection of materials for a library requires sagacity, adroitness and attention to people's needs for everything from books and

Case study and statistical methods, Case Study Methods: It is studying the...

Case Study Methods: It is studying the phenomenon event situation or development through a thorough and detailed analysis or intensive study. The case may be an individual a gr

One sample runs test - hypothesis testing, ONE SAMPLE  RUNS  TEST A ...

ONE SAMPLE  RUNS  TEST A number of  methods have been  developed fro  judging the randomness of samples on the basis of  the order in which  teh observations  are taken. It is

Unit 8, undertake the proposed research investigation in accordance with th...

undertake the proposed research investigation in accordance with the agreed specification and procedures

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

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

Linear Programming, A paper mill produces two grades of paper viz., X and Y...

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

Study the case and provide an alternative compensati, #queStudy the case an...

#queStudy the case and provide an alternative compensation design, which would redress the problem faced by the two- wheeler major in Chennai.stion..

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