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Math Help - Worded question.

  1. #1
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    Worded question.

    A firm manufacturing jackets finds that it is capable of producing 100 jackets per day, but it can only sell all of these if the charge to wholesalers is no more than $50 per jacket. On the other hand, at the current price of $75 per jacket, only 50 can be sold per day.
    Assume that the graph of price, $P, against number sold per day N is a straight line.
    Find the equation of the straight line.
    Use the equation to find: the price at which 88 jackets per day could be sold and the number of jackets that should be manufactured to sell at $60 each.
    I'm pretty sure once I find the equation I'll be able to work out the second bit, but I just can't put the words into an equation.
    Thanks in advance.
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  2. #2
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    Quote Originally Posted by mandarep View Post
    A firm manufacturing jackets finds that it is capable of producing 100 jackets per day, but it can only sell all of these if the charge to wholesalers is no more than $50 per jacket. On the other hand, at the current price of $75 per jacket, only 50 can be sold per day.
    Assume that the graph of price, $P, against number sold per day N is a straight line.
    Find the equation of the straight line.
    Use the equation to find: the price at which 88 jackets per day could be sold and the number of jackets that should be manufactured to sell at $60 each.
    I'm pretty sure once I find the equation I'll be able to work out the second bit, but I just can't put the words into an equation.
    Thanks in advance.
    number of jackets sold is dependent on price ... (price, jackets sold)

    two sets of values ... (50,100) and (75,50)

    find the equation of the line that passes through these two points.
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  3. #3
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    Thanks so much. I ended up getting the whole question correct.
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