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Math Help - Simple Worded Question

  1. #1
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    Simple Worded Question

    A shop is selling sandwiches.
    The cost that is involved amounts to $50 plus $.80 per sandwich. If the manager charges $x for each sandwich, where x = 3.5 - 0.01n and n is the number of sandwiches.

    Firstly I'm having trouble finding the expression for the revenue and for costs as functions of n.

    Also I can't seem to work towards this part of the question either.

    Show that an expression for the profit $P made from selling n sandwiches is

    P = 2.7n-0.01n^2-50
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  2. #2
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    Word problem

    Hello ollieman
    Quote Originally Posted by ollieman View Post
    A shop is selling sandwiches.
    The cost that is involved amounts to $50 plus $.80 per sandwich. If the manager charges $x for each sandwich, where x = 3.5 - 0.01n and n is the number of sandwiches.

    Firstly I'm having trouble finding the expression for the revenue and for costs as functions of n.

    Also I can't seem to work towards this part of the question either.

    Show that an expression for the profit $P made from selling n sandwiches is

    P = 2.7n-0.01n^2-50
    After the one-off cost of $ 50, the cost per sandwich is $ 0.80, so the cost of making n sandwiches is $ (50 + 0.80n). The revenue is the income per sandwich multiplied by the number of sandwiches = $ (3.5 - 0.01n)n = $ (3.5n - 0.01n^2).

    The profit is the amount by which the revenue exceeds the costs; in other words:

     P = (3.5n - 0.01n^2) - (50+0.80n)

     = (3.5 - 0.8)n - 0.01n^2 - 50

     = 2.7n -0.01n^2 - 50

    Grandad
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  3. #3
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    Thank you very much!
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