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

Maps, Maps, Atlases and Globes: Maps illustrate the distribution of ma...

Maps, Atlases and Globes: Maps illustrate the distribution of many things that occur on the surface of the earth. Information is presented by the use of a vast array of symbol

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

Introduction to probability distribution , Introduction to Probability Dist...

Introduction to Probability Distribution By  theoretical distribution we mean  a frequency distribution  which  is obtained  in relation to a random  variable by some  mathem

REGRESSION, regression line drawn as Y=C+1075x, when x was 2, and y was 239...

regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Non parametric tests - hypothesis testing, NON PARAMETRIC TESTS All  ...

NON PARAMETRIC TESTS All  practical  data follow normal distribution under  such situations can estimate the  parameters such  as mean  variance etc ,,, and use the  standard

Model, What are the features of blending model

What are the features of blending model

Advantages of standard deviation - measure of dispersion, Advantages of S...

Advantages of Standard  deviation a.Standard  deviation is based on all the observations and is rigidly  defined. b.It is  amenable to algebraic  treatment  and possesses

Simple graph-correlation and regression analysis, Simple Graph The val...

Simple Graph The values of the two variables are plotted on a graph paper. We get two curves one for x variables and another for y  variables. These  two curves reveal the dir

Replacement theory, if the year or age is given from 0 how to solve then?...

if the year or age is given from 0 how to solve then?

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