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    Ariisa's Avatar
    Ariisa Posts: 1, Reputation: 1
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    #1

    Feb 21, 2010, 02:44 PM
    Quadratic problem solving
    A local library sells memberships for the use of its computer lab. Four hundred students purchased a membership when the price was $20. The library estimates that for every $2 increase in the membership fee, 20 fewer students will become members. What should the membership fee be to provide the maxium revenue to the library?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Feb 22, 2010, 06:29 AM

    Let x=the number of memberships.

    Then, the number decreases by 20 for each 2 dollar increase.

    (400-20x)(20+2x)

    Differentiate, set to 0 and solve for x
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