Results 1 to 2 of 2

Math Help - linear programming

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    1

    Question linear programming

    'A clothier makes coats and salcks. The two resources required are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coats requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks requires 5 yards of wool and 4 hours of labor. The profit for a coat is $50 and the profit for slacks is $40. the clothier wants to determine the number of coats and pairs of slacks to make so that profit will be maximized.'

    from the above question,i do not know how to determine the available amount of the two resources-square yards of wool and hours of labors
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    12
    Awards
    1
    Quote Originally Posted by Eyra View Post
    'A clothier makes coats and salcks. The two resources required are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coats requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks requires 5 yards of wool and 4 hours of labor. The profit for a coat is $50 and the profit for slacks is $40. the clothier wants to determine the number of coats and pairs of slacks to make so that profit will be maximized.'

    from the above question,i do not know how to determine the available amount of the two resources-square yards of wool and hours of labors
    Let c = #coats to be produced

    Let s = #slacks to be produced

    Our first constraint deals with square yards of wool. We cannot exceed 150 square yards. Using the fact that coats require 3 sq yds and slacks require 5 sq yds, we can identify this constraint.

    \boxed{3c+5s \leq 150}

    Our second constraint deals with the number of hours available being 200. Coats require 10 hrs and slacks require 4 hrs. Now we have our second constraint.

    \boxed{10c+4s \leq 200}

    We might also assume that some of each will be produced, so we can list the following as constraints as well.

    \boxed{c > 0} and \boxed{s > 0}

    The profit function would be \boxed{P(x, y)=50c + 40s}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear Programming~Please help!
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: April 13th 2010, 02:12 PM
  2. Replies: 1
    Last Post: November 17th 2008, 04:18 AM
  3. linear programming
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: May 25th 2008, 04:59 PM
  4. linear programming
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: May 25th 2008, 07:40 AM
  5. Linear Programming
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: February 19th 2008, 08:06 AM

Search Tags


/mathhelpforum @mathhelpforum