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, discuss about assignment and steps involved in it

discuss about assignment and steps involved in it

Modi method, find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 3...

find optimal solution for a 3*4 matrix 42 27 24 35 46 37 32 32 40 40 30 35 using modi method

Lpp, Determine feasible space for x1-x2= 8

Determine feasible space for x1-x2= 8

Macroeconomic environment in which the business operates, Provide a descrip...

Provide a description of the macroeconomic environment in which the business operates noting: a) The overall 'stability' of the political system/government of the country in whi

Network models, These models are applied to the management ( planning con...

These models are applied to the management ( planning controlling and scheduling ) of large scale projects. PERT/ CPM techniques help in identifying potential trouble spots in

Assignment, A paper mill produces two grades of paper viz., X and Y. Becaus...

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

Manner of presentation - report writing presentation, Manner of Presentatio...

Manner of Presentation  Decide  whether  you wish  to achieve  your  objective by a formal  presentation or a  non formal  type  of presentation. As  discussed  earlier the

#transportation and linear models.., #what is the similarity and difference...

#what is the similarity and differences between transportation and linear programing models?

Linear programming, . A paper mill produces two grades of paper viz., X and...

. 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

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