Results 1 to 2 of 2

Math Help - Linear programming problem

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    1

    Linear programming problem

    An oil fired power station burns three grades of oil: grade A, grade B and grade C.
    The efficiency with which electricity can be produced from the burning of these oils
    depends upon the presence of three ingredients: X, Y and Z which are known to be
    present in each ton of the three grades as shown in the table below:
    Tons of ingredient per ton of oil
    X Y Z
    Grade A 0.2 0.4 0.3
    Grade B 0.1 0.3 0.2
    Grade C 0.3 0.2 0.4
    Maximum efficiency in the burning process requires the presence of at least 200 tons
    of ingredient X, at least 175 tons of ingredient Y, and at least 300 tons of ingredient
    Z, in 1 hour of continuous electricity production.
    The power station purchases the oil at prices of 60, 80, and 70 per ton for grades
    A, B and C respectively, and is required to operate for 12 hours per day.
    Formulate the linear program which will minimize the total daily cost of
    electricity production.


    Can anyone help me with this??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,419
    Thanks
    1856
    Can you help us help you? What have you done on this yourself?
    One sentence says "Maximum efficiency in the burning process requires the presence of at least 200 tons of ingredient X, at least 175 tons of ingredient Y, and at least 300 tons of ingredient Z, in 1 hour of continuous electricity production." What three inequalities does give you?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear Programming Problem
    Posted in the Business Math Forum
    Replies: 4
    Last Post: December 16th 2010, 09:47 AM
  2. Linear Programming Problem
    Posted in the Business Math Forum
    Replies: 6
    Last Post: December 24th 2007, 01:20 PM
  3. Linear Programming-Need help with one problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 17th 2007, 05:44 AM
  4. linear programming problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: July 31st 2007, 08:02 AM
  5. Linear Programming Problem
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: June 22nd 2006, 02:57 AM

Search Tags


/mathhelpforum @mathhelpforum