Results 1 to 2 of 2

Math Help - linear programming

  1. #1
    Newbie
    Joined
    Dec 2013
    From
    Ireland
    Posts
    3

    linear programming

    hi all just wondering if you could assist me with the following question

    there are two types of boxes. light boxes which weigh 120kg and heavy boxes which weigh 170kg. a truck can carry at most 3890 kg. the time taken to load a heavy box is 7 minutes. the time taken to load a light box is 6 minutes. the total time spent loading a truck cannot be greater then 177 minutes.

    a) taking x as the number of heavy boxes and y as the number of light boxes, model two linear inequalities in x and y
    b) what values of x and y lead to the most efficient loading of the truck.
    c) the firm pays 82$ for the loading of the each heavy box and 52$ for the loading of each light box. if the truck is loaded in the most efficient way possible way from the workers point of view what will their income be?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,242
    Thanks
    1795

    Re: linear programming

    Quote Originally Posted by Mathssub View Post
    hi all just wondering if you could assist me with the following question

    there are two types of boxes. light boxes which weigh 120kg and heavy boxes which weigh 170kg. a truck can carry at most 3890 kg. the time taken to load a heavy box is 7 minutes. the time taken to load a light box is 6 minutes. the total time spent loading a truck cannot be greater then 177 minutes.

    a) taking x as the number of heavy boxes and y as the number of light boxes, model two linear inequalities in x and y
    The heavy boxes weigh a total of 170x kg and the light boxes weigh a total of 120y kg which must be less than or equal to 3890 kg
    The heavy boxes take a total of 7x minutes to load and the light boxes take a total of 6y minute which must be less than or equal to 177 min.

    b) what values of x and y lead to the most efficient loading of the truck.
    I presume that "most efficient" means fastest loading so you want to minimize 7x+ 6y\le 177 subject to 170x+ 120y\le 3890

    c) the firm pays 82$ for the loading of the each heavy box and 52$ for the loading of each light box. if the truck is loaded in the most efficient way possible way from the workers point of view what will their income be?
    Having determined x and y in (b), find 82x+ 52y.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear Algebra- Geometric Linear Programming
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: April 25th 2013, 04:56 PM
  2. linear programming
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: September 3rd 2009, 09:09 PM
  3. Replies: 1
    Last Post: November 17th 2008, 04:18 AM
  4. Linear programming
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 23rd 2008, 08:35 PM
  5. linear programming
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: December 6th 2006, 08:29 AM

Search Tags


/mathhelpforum @mathhelpforum