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Math Help - Maximum Profit question.

  1. #1
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    Maximum Profit question.

    Your group has decided to open a small business selling office supplies by mail order. One of the items you want to sell is a box of dry erase markers. Each box contains 12 markers and the customer will pay for the postage. An important thing to decide is the best price to charge for the markers. After doing some market research, you found that if the box of markers cost $20.00, plus postage, no one would buy them. However, if you charge nothing, but the customer still pays for the postage, you can sell 800 boxes of markers per month. The best price will be somewhere between these extremes.



    1. Assume there is a linear relationship between the number of boxes sold per month (n) and their price (p). Use the information provided to graph this relationship. (dont know how to post the grid to graph it)








    1. Use your graph to find the linear function n(p) = ________________ that describes the situation.
    Last edited by mr fantastic; October 18th 2010 at 03:09 PM. Reason: Edited title.
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  2. #2
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    The postage factor here can be tossed aside as you make no profit on this. Therefore n is dependant on p. You can now seek a linear solution  \displaystyle n = mp+c with the information  \displaystyle (p,n)= (0,800),(20,0)

    where

     \displaystyle m= \frac{n_2-n_1}{p_2-p_1}

    After you have found m use either  \displaystyle  (0,800),(20,0) to find c.
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