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

Assignment 2012, Problem 1 (Problem 23, page 507) At a machine tool plant, ...

Problem 1 (Problem 23, page 507) At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the machine used to do the job. If a mac

Linear programming, Q3. Solve the following Linear Programming Problem usi...

Q3. 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

Case study and statistical methods, Case Study Methods: It is studying the...

Case Study Methods: It is studying the phenomenon event situation or development through a thorough and detailed analysis or intensive study. The case may be an individual a gr

Components included in the reseach proposal, Components Included in the Pro...

Components Included in the Proposal Personnel In case the proposal is addressed to the funding agencies, the qualifications of the key project personnel for study should be

Draw a network for the project adn determine the critical pa, a)Draw a netw...

a)Draw a network for the project. b)Determine the critical path. Activity Duration Activity Duration 1-2 15 5-10 22 1-3 13 6-9 33 1-4 1

Word problems based on formulation of linear programming, Word problems bas...

Word problems based on formulation of linear programming problems. 2.   A manufacturer produces nuts and bolts for industrial machinery. It takes 1 hour of work on machine 1 an

LPP, A paper mill prouduces two grads of paper viz., X and Y. Becouse of ra...

A paper mill prouduces two grads of paper viz., X and Y. Becouse of raw material restriction, it cannot product more then 400 tons of grade X paper and 300 tons of grade Y paper in

Simplex solution, difference between simplex solution procedure for maximis...

difference between simplex solution procedure for maximisation and minimisation

Decision analysis, a question was given but i cannot identify the alternati...

a question was given but i cannot identify the alternatives and i do not know how to calculate the right amount of payoff.what are the right ways to calculate the payoff table.

Research process, What kind of research situation do the two new brand...

What kind of research situation do the two new brands present for Mr. Lynn company?

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