Results 1 to 3 of 3

Math Help - Revenue from sales

  1. #1
    Newbie
    Joined
    Jul 2006
    Posts
    23

    Revenue from sales

    Dave's revenue $R on the sale of widgets is determined by the formula

    R = 35x - x^2

    His cost $C for producing x widgets is given by the formula C = 5x + 30. For what values of x is Dave's profit positive?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by pashah
    Dave's revenue $R on the sale of widgets is determined by the formula

    R = 35x - x^2

    His cost $C for producing x widgets is given by the formula C = 5x + 30. For what values of x is Dave's profit positive?
    Profit is R-C so the question is asking for what values of x is:

    <br />
(35x-x^2)-(5x+30)=-x^2+30x-30 >0<br />

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Jun 2005
    Posts
    295
    Awards
    1
    You need to determine the values of x for which C = 5x + 30 is less than R = 35x - x^2. The critical values of x for which C=R are the solutions to 35x - x^2 = 5x + 30, or x^2 - 30x + 30 = 0: these are 15 +- sqrt(195) or approximately 28.96 and 1.04. Since x has to be an integer the range of values for which C is less than R is 2 <= x <= 28.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Sales and Performance
    Posted in the Business Math Forum
    Replies: 2
    Last Post: June 21st 2011, 02:45 PM
  2. Find total sales and individual sales
    Posted in the Business Math Forum
    Replies: 5
    Last Post: April 8th 2011, 04:31 PM
  3. Replies: 1
    Last Post: November 24th 2009, 01:43 PM
  4. Replies: 1
    Last Post: November 18th 2009, 08:16 PM
  5. marginal cost/revenue to total cost / revenue
    Posted in the Advanced Math Topics Forum
    Replies: 1
    Last Post: May 9th 2009, 12:41 PM

Search Tags


/mathhelpforum @mathhelpforum