<PRE><B>Question 230350</B>
An airplane has a 200 seat capacity and is to be chartered for a transatlantic flight. The airplane cannot be chartered unless there are at least 150 passengers. the cost of a ticket is $540. the company agrees to reduce the price of a ticket by $2 for each ticket sold over 150 How many tickets need to be sold to maximize the companys income? 
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Equation:
CI = unit price * # of units
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CI = (540-2x)(150+x) where x is the number of tickets sold over 150.
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CI = 81000 +540x -300x -2x^2
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CI = -2x^2 + 240x + 81000
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Maximum CI occurs when x = -b/2a = -240/(-4) = 60
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Number of tickets that need to be sold to maximize CI is 150+60 = 210
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Cheers,
Stan H.</PRE>