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

Linear problem, A paper mill produces two grades of paper viz., X and Y. Be...

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

Please semd ans., A paper mill products two grade of paper viz., X & Y. Bec...

A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we

Demerits - correlation regression analysis, Demerits a.It cannot  be ...

Demerits a.It cannot  be used in  the case  of  bi variate distribution. b.If the  numbers  of items  are greater than say  30, the calculation becomes  tedious  and  requ

Sope, sope of operations research in a detailed manner

sope of operations research in a detailed manner

Fromulation of LPP, 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 ot grade Y paper in

Linear programmimg, #questionA paper mill produces two grades of paper viz....

#questionA 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 grad

Reference books - report writing presentation , Reference Books If an ...

Reference Books If an article  in a reference  books has more  than one  author use the  same  format  for  authors  given for  books above. a. Authors Known :Authors last

Characteristics of good average, Characteristics  of Good Average a. ...

Characteristics  of Good Average a. It should  be Rigidly  Defined  An average should  be rigidly defined so that  there is  no confusion  in regard  to its  meaning  and con

Disadvantages of mean deviation - measure of dispersion, Disadvantages of ...

Disadvantages of Mean Deviation a.Mean deviation ignores  the algebraic  signs of the deviations and  such it is  not capable  of further algebraic  treatment. b.It is  no

Mr Diwakar, 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

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