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

First paper, discuss the seauencing decision problem for n jobs on two and ...

discuss the seauencing decision problem for n jobs on two and three machines

Applications of statistics in management, In a business, statis...

In a business, statistics is used to study the demand and market characteristics of the product or service being sold. In fact, market research

Describe the objectives of tax planning, Question 1 Describe the obje...

Question 1 Describe the objectives of tax planning. Explain the factors to be considered in tax planning. Question 2 Describe the categories in Capital assets. Mr.

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

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

Markov chain models - operation research model, These models are used for a...

These models are used for analyzing a system which changes over a period of time among various possible outcomes or states. The models while dealing with such systems describe tra

Introduction to Operations research, discuss applications and scope of oper...

discuss applications and scope of operations research in diverse areas.

Linear programming problems, A paper mill produces two grades of paper viz....

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

On the basis of ratio of change direction, On the  Basis  of Ratio of Ch...

On the  Basis  of Ratio of Change  Direction   a. Linear Correlation: The  correlation  between  two variables a said  to be liner if  corresponding  to a unit change in th

CHARACTERISTIC, O.R REPLACES MANAGEMENT BY PERSONALITY

O.R REPLACES MANAGEMENT BY PERSONALITY

Uses of mean deviation - measure of dispersion, Uses  of Mean  Deviation...

Uses  of Mean  Deviation Mean  Deviation  is rarely being used as a measure of dispersion. But  due to  easy  and  simplicity  in calculation. It  is rather  useful  in busin

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