Results 1 to 2 of 2

Math Help - a system of linear inequalities

  1. #1
    Member
    Joined
    Dec 2006
    Posts
    93
    Awards
    1

    a system of linear inequalities

    1.A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plantís capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,804
    Thanks
    115
    Quote Originally Posted by Patience View Post
    1.A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plantís capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.
    Hello, Patience,

    let x be the number of AM-radios
    let y be the number of AM/FM-radios

    then you get the system of inequalities:

    A: x ≥ 4
    B: y ≥ 3
    C: x + y ≤ 18 ===> y ≤ -x + 18
    D: 15x + 20y ≤ 300 ===> y ≤ -(3/4)*x + 15

    I've attached the graph of this system.

    EB
    Attached Thumbnails Attached Thumbnails a system of linear inequalities-linopt_radios.gif  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. System of 8 Inequalities
    Posted in the Math Software Forum
    Replies: 2
    Last Post: September 14th 2011, 05:38 AM
  2. System of Inequalities
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 20th 2010, 05:33 PM
  3. system of inequalities
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 20th 2009, 11:10 AM
  4. system of inequalities
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 20th 2007, 10:23 AM
  5. system of inequalities
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 15th 2007, 02:49 PM

Search Tags


/mathhelpforum @mathhelpforum