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

Explain the graicunas theory, Question 1 Discuss the impact of Henry Fayol...

Question 1 Discuss the impact of Henry Fayol's principles of management on the modern techniques of management with the help of suitable examples Question 2 Explain the Gary

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

Solved a.q, Solve the following Linear Programming Problem using Simple met...

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

One sample runs test - hypothesis testing, ONE SAMPLE  RUNS  TEST A ...

ONE SAMPLE  RUNS  TEST A number of  methods have been  developed fro  judging the randomness of samples on the basis of  the order in which  teh observations  are taken. It is

Operation Research, A paper mill produces two grades of paper viz., X & Y. ...

A paper mill produces two grades of paper viz., X & Y. Because of raw material restrictions, it cannot produce more 400 tons of grade X paper & 300 tons of grade Y paper in a week.

Advantages of mode - measure of central tendency, Advantages of Mode ...

Advantages of Mode a.It is easy to understand  as well as easy  to calculate. In  can be found out by  inspection. b.It is  usually an exacta value  as it  occurs most fre

Experimental method, In this method variables beings studied are contro...

In this method variables beings studied are controlled by the investigator. In other the effect of one variable is observed while other relevant variables are held constant

Problems based on lpp when feasible region is a line segment, Problems base...

Problems based on LPP when feasible region is a line segment or it does not exist. 1.    Maximize z = 2x+3y subject to the constraints X + y ≤ 1 X + y ≥ 3 X,  y ≥ 0

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

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