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Suppose the quantity demanded per week of a certain dress is related to price by the demand equation p=√75-2x. In order to maximize revenue, how many dresses should be made and sold each week?

  • Math -

    revenue is price * quantity
    r = x*p = x√(75-2x)

    I hope this is for a calculus class, because we can now use r' to find the max:

    r' = 3(25-x)/√(75-2x)
    r'=0 when x = 25

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