MATH- please help!

A manufacturer produces three types of radios: deluxe, standard and economy. Each radio uses three different types of transistors: P, Q and R. The deluxe radio uses 2 P's, 7 Q's and 1 R. The standard contains 2 P's, 3 Q's and 1 R, and the economy model requires 1 P, 2 Q's and 2 R's.

How many radios of each type can be constructed if the total number of transistors (P's, Q's and R's) available are 2200, 3400 and 1400 respectively and all transistors must be used?

  1. 👍 0
  2. 👎 0
  3. 👁 165
asked by kIM
  1. Sorry about the confusion, which is not helped with at least 6 copies of identical questions, in addition to others that may have been deleted.
    http://www.jiskha.com/display.cgi?id=1310358660
    http://www.jiskha.com/display.cgi?id=1310104811
    http://www.jiskha.com/display.cgi?id=1310104728
    http://www.jiskha.com/display.cgi?id=1310355002
    http://www.jiskha.com/display.cgi?id=1310104839
    http://www.jiskha.com/display.cgi?id=1310413630

    It would be much easier to respond to the original post, or make a new post with reference to the old post by number or by date and time.

    Let
    D=number of deluxe units
    S=number of standard units
    E=number of economy units

    Set up equations for each type of transistor, forcing the total number used to the quantity available:
    For type P:
    2D+2S+E=2200
    For type Q:
    7D+3S+2E=3400
    For type R:
    D+S+2E=1400

    Solving the above three simultaneous equations will give the quantities required. I get a total of 1200 units.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. System of Linear Equations

    A manufacturer produces three types of radios: deluxe, standard and economy. Each radio uses three different types of transistors: P, Q and R. The deluxe radio uses 2 P's, 7 Q's and 1 R. The standard contains 2 P's, 3 Q's and 1 R,

    asked by neeha on July 8, 2011
  2. MATH

    A manufacturer produces three types of radios: deluxe, standard and economy. Each radio uses three different types of transistors: P, Q and R. The deluxe radio uses 2 P's, 7 Q's and 1 R. The standard contains 2 P's, 3 Q's and 1 R,

    asked by kIM on July 10, 2011
  3. math

    A manufacturer produces three types of radios: deluxe, standard and economy. Each radio uses three different types of transistors: P, Q and R. The deluxe radio uses 2 P's, 7 Q's and 1 R. The standard contains 2 P's, 3 Q's and 1 R,

    asked by kim on July 11, 2011
  4. System of Linear Equations

    A manufacturer produces three types of radios: deluxe, standard and economy. Each radio uses three different types of transistors: P, Q and R. The deluxe radio uses 2 P's, 7 Q's and 1 R. The standard contains 2 P's, 3 Q's and 1 R,

    asked by neeha on July 8, 2011
  5. math

    The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum

    asked by Mike on February 25, 2008
  6. Math

    The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum

    asked by Mike on February 25, 2008
  7. Math - Linear Inequalities

    The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum

    asked by Tushar on February 25, 2008
  8. Maths

    The Wellbuilt Company produces two types of wood chippers, Deluxe and Economy. The Deluxe model requires 3 hours to assemble and ½ hour to paint, and the Economy model requires 2 hours to assemble and 1 hour to paint. The maximum

    asked by Tushar on February 25, 2008
  9. Algebra

    If some one can get me started, I should be able to graph this. MONTGOMERY COUNTY COMMUNITY COLLEGE MAT106 SUMMER, 2007 ASSIGNMENT #1 NAME______________________________ The Wellbuilt Company produces two types of wood chippers,

    asked by Jason on May 30, 2007
  10. College Algebra

    A manufacturer of radios estimates that his daily cost of producing x radios is given by the equation C=350+5x. The equation R=25x represents the revenue in dollars from selling x radios. *Profit

    asked by Ana on February 9, 2012

More Similar Questions