Results 1 to 2 of 2

Math Help - Profit

  1. #1
    Newbie
    Joined
    Oct 2007
    Posts
    4

    Profit

    The profit from making and selling x units of a product is given by P(x)= .05x^6+16x-600 dollars. How many units should be produced and sold in order to make a profit of $2200?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    P(x)= .05x^6+16x-600 -----??
    0.05x^6?

    I assume that should be
    P(x) = 0.05x^2 +16x -600

    So if profit = $2200,

    2200 = 0.05x^2 +16x -600
    0.05x^2 +16x -600 -2200
    0.05x^2 +16x -2800 = 0
    Divide both sides by 0.05,
    x^2 +320x -56,000 = 0
    Using the Quadratic Formula,
    x = {-320 +,-sqrt[(320)^2 -4(1)(-56,000)]} / 2(1)
    x = {-320 +,-571.3} /2
    x = 125.7 or -445.7 units

    Reject the x = -445.7 because negative number of units cannot be produced.

    Therefore, produce and sell 126 units to get about $2200 profit.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Profit
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 10th 2011, 03:54 AM
  2. Profit >=0
    Posted in the Business Math Forum
    Replies: 0
    Last Post: April 21st 2009, 10:48 AM
  3. Max Profit
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 5th 2009, 08:44 PM
  4. profit and marginal profit relationship
    Posted in the Business Math Forum
    Replies: 1
    Last Post: January 16th 2009, 09:00 AM
  5. profit
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: October 13th 2008, 03:49 PM

Search Tags


/mathhelpforum @mathhelpforum