Results 1 to 2 of 2

Math Help - Linear programming problem

  1. #1
    Student2k7
    Guest

    Linear programming problem

    Can sum1 help me to formulate this problem???


    1)Formulate the following. A family has 2 farms A and B which have 200 and 500 acres of land respectively. It has 20,000 available for investment, to be allocated between the 2 farms. 4000 person hours of labour is available on farm A and 6000 person hours on farm B. If necessary, extra labour can be bought in on farm A at a cost of 8 per person hour.
    Cash income is obtained from 2 crops, wheat and oats, and 2 forms of livestock, hens and cows.
    The resource requirements (which are assumed to be identical for the 2 farms) and the net profit for the above are as follows:

    (I can't do a table. I hope this bit is clear!)

    That first line is the headings. the products are oats, wheat, cows and hens. The 'land' column is 2, 4, 10, 0. the 'investment' column is 0, 0, 500, 20. The 'labour (person hours)' column is 40,40,30,2 and the 'net profit per unit' column is 20,30,100,5.


    PRODUCT, LAND(acres), Investment(₤s), Labour(person hours), Net profit per unit

    Oats(per ton) 2 0 40 20

    Wheat(per ton) 4 0 40 30

    Cows (per animal) 10 500 30 100

    Hens(per bird) 0 20 2 5


    In addition owing to limitations in the number of buildings for animals, the maximum number of cows and hens each firm can accommodate is 10 and 200 respectively on farm A and 20 and 200 respectively on farm B.
    The family has already signed a contact to supply at least 20 tons of wheat to a company. The family wishes to maximise profits.
    Last edited by Student2k7; October 28th 2007 at 02:29 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Don't make duplicate posts and don't use multiple identities, if this post has
    not been answered it is because no one can or has the time to deal with
    this problem.

    Nagging will not get it answred any faster.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear Programming problem
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 29th 2011, 04:45 PM
  2. linear programming problem
    Posted in the Business Math Forum
    Replies: 2
    Last Post: March 9th 2010, 02:10 PM
  3. Linear programming problem
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 8th 2009, 05:32 AM
  4. Linear Programming Problem
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: December 6th 2009, 05:15 PM
  5. Linear Programming Problem
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: July 13th 2008, 09:40 PM

/mathhelpforum @mathhelpforum