Results 1 to 4 of 4

Math Help - Business calc word problem

  1. #1
    Newbie
    Joined
    Mar 2008
    Posts
    17

    Business calc word problem

    A manufacture has been selling 1200 television sets a week @ $390 each. A market survey indicates that for each 21 rebate offered to a buyer, the number of sets sold will increase by 210 per week.

    a) Find the demand function p(x), where x is the number of the television sets sold per week.

    b) How large rebate should the company offer to a buyer, in order to maximize its Revenue?

    c) If the weekly cost function is 78,000+130x, how should it set the size of the rebate to maximize its Profits?

    Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,111
    Thanks
    2
    What's a "21 rebate"?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2008
    Posts
    17

    Reply to question

    I'm not sure if it is important, but I think it just means 21% discount or $21 off of each sell or offer. I hope that helps.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,111
    Thanks
    2
    Quote Originally Posted by stepho_145 View Post
    A manufacture has been selling 1200 television sets a week @ $390 each. A market survey indicates that for each 21 rebate offered to a buyer, the number of sets sold will increase by 210 per week.

    a) Find the demand function p(x), where x is the number of the television sets sold per week.

    b) How large rebate should the company offer to a buyer, in order to maximize its Revenue?

    c) If the weekly cost function is 78,000+130x, how should it set the size of the rebate to maximize its Profits?
    It really would help to KNOW what the 21 is. Guesssing is not a great business.

    So, if d = discount, then p(d) = (1200+d*(210/21))*(390 - d) looks like weekly income, doesn't it? You should be able to find the maximum value of p(d).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Business Calc Question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 11th 2011, 05:38 PM
  2. Calc word problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 19th 2009, 08:46 AM
  3. Replies: 3
    Last Post: December 1st 2008, 09:39 PM
  4. Calc - Word problem
    Posted in the Calculus Forum
    Replies: 5
    Last Post: June 3rd 2008, 01:23 AM
  5. Maximaze profits business calc
    Posted in the Calculus Forum
    Replies: 7
    Last Post: April 13th 2008, 12:02 PM

Search Tags


/mathhelpforum @mathhelpforum