User Account

All Pages

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

Determine the required factors of production in a company, 1)  Provide a de...

1)  Provide a description of the required factors of production, grouping them according to whether the factors of production are a) Fixed and hence unlikely to vary much accord

Cost- sampling decisons, Cost The  cost factor  is a very  importan...

Cost The  cost factor  is a very  important  factor in determining  the size of the  sample. The budget for research should be properly  decided. The management may not lik

LInear Programming, - A paper mill produces two grades of paper viz., X an...

- 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 pape

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

Solved the question, #questionthe following Linear Programming Problem usin...

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

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

Explain decision making process, Explain Decision Making Process. Deci...

Explain Decision Making Process. Decision Making Process: A good decision can only be prepared as a result of a rational decision making process. The different stages of the

Idle time , eqation

eqation

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

Simple line graphs , Simple Line Graphs a. Simple  Histogram A simpl...

Simple Line Graphs a. Simple  Histogram A simple histogram  is a techniques  used  plotting  a time  series on the graph paper. The data are arranged according to  the time

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd