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

Chi square test for the population variance, Chi square Test for the Popula...

Chi square Test for the Population variance When we want  to test that  a random  sample  has been  drawn  from  a normal  population having specified variance then X2 statist

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

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

35mm slider -report writing presentation , 35mm Slider  35 mm Slider l...

35mm Slider  35 mm Slider like OHP transparencies casts  an images but they  have different  uses and  properties. They are used  to show an actual photographic  images in the

Development of lp problems, A company manufactures 2 kinds of hats. Each ha...

A company manufactures 2 kinds of hats. Each hat of the I type needs twice as much as labour time as the II type. The company can manufacture a sum of 500 hats a day. The market re

Linear programing, Solve the following Linear Programming Problem using Sim...

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

Prepare an executive level financial report, Research Project I will as...

Research Project I will assign a project for your class. The following description is an example of such a project. I may select the following company, may select a different c

#titleAssignment Problem.., Six Operators are to be assigned to five jobs w...

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment

Que, #queSix Operators are to be assigned to five jobs with the cost of ass...

#queSix Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assign

Frequency distribution graphs, Frequency  Distribution Graphs Freq...

Frequency  Distribution Graphs Frequency distribution graphs may be histogram frequency  polygon  frequency  curve  ogive curve.   1. Histogram The histogram is draw  f

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