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

Linear Equation, Cohen Chemicals, produces two types of photo-developing fl...

Cohen Chemicals, produces two types of photo-developing fluids. The first, a black and white picture chemical, costs Cohen $2500 per ton to produce. The second, a colour photo chem

Answering lp problems, ABC Company manufactures both interior and exterior ...

ABC Company manufactures both interior and exterior paints from 2 raw materials M1 and M2. The following table gives basic data of problem.     Exterior

Liner, b. A paper mill produces two grades of paper viz., X and Y. Because ...

b. 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

Variables, Variables A concept which varies is variable. These can be ...

Variables A concept which varies is variable. These can be different in quantitative values. For example, weight, height, income are examples of variables. Qualitative phenom

#title.industry, scope of operation research in insutry and defence

scope of operation research in insutry and defence

Construction procedure for research tool, CONSTRUCTION PROCEDURE The c...

CONSTRUCTION PROCEDURE The construction of an interview schedule or questionnaire is a time consuming task requiring considerable attention to all the details. The investig

Methodology, what are the methodology of operation research

what are the methodology of operation research

Models, Which model is described as a rule of thumb

Which model is described as a rule of thumb

Overview of writing research proposal, Overview of Writing Research Proposa...

Overview of Writing Research Proposal It may be written in words of the researcher or as answers following the guidelines provided by the sponsoring organization. A review of

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