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

Lp model, A company produce three sizes of windows fans small,medium and la...

A company produce three sizes of windows fans small,medium and large. The manager has formulated an LP model for production.

Describe the monte carlo simulation, Question A The basic characteristic f...

Question A The basic characteristic feature of Operations Research is that it employs mathematical representations or models to analyse problems. Explain the methodology of Operat

Banking operations, sir plz suggest me any book for this...or notes.....

sir plz suggest me any book for this...or notes.....

Model, Importance of models

Importance of models

QUANTITATIVE ANALYSIS, Ask queA manufacturing firm has discontinued product...

Ask queA manufacturing firm has discontinued production of a certain unprofitable product line. This created considerable excess production capacity. Management is considering to d

Identify and comment on cultural similarities, You are required to analyse ...

You are required to analyse the case study, as indicated under these headings: 1. Identify FIVE persons, bodies, organisations or groups in the case study. 2. For EACH of the

Simplex method, Solve the following Linear Programming Problem using Simple...

Solve the following Linear Programming Problem using Simplex method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

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

Lpp, A paper mill produces two grades of paper viz., X and Y. Because of ra...

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