goal programming, A farmer in the Midwest has 1,000 acres of land on which she intends to, Operation Research

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.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages

goal programming, Operation Research

Related Discussions:- goal programming

Rank methods spearman s, Rank Methods Spearman s When the variables u...

Characteristics, correct answer

SIGNIFICANCE OF OPERATION RESEARCH, WHAT ARE THE SIGNIFICANCE OF OPERATION ...

Problems based on lpp when feasible region is a line segment, Problems base...

Find out where you should now invest your money, Question : Suppose tha...

Model building, model building is the essence of the operational research d...

C++ programs, C++ code for assignment problem

North west corner rule, North West Corner Rule for Initial Solution: Now ...

Determine the best age at which to replace the machine, Question: Machi...

Simplex method, how to solve simplex method in LPP?

Write Your Message!

Featured Services

Online Tutoring

Project Development

Exam Preparation

Course Help

Assignment Help

Popular Subjects

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT