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    Maximizing Revenue

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    The manager of a bicycle shop has found that, at a price (in dollars) of p(x) = 150 - x/4 per bicycle, x bicycles will be sold.

    a. Find an expression for the total revenue from the sale of x bicycles.(revenue = demand x price)

    b. Find the number of bicycle sales that leads to maximum revenue.

    c. Find the maximum revenue.

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    Solution Preview

    The manager of a bicycle shop has found that, at a price (in dollars) of p(x) = 150 - x/4 per bicycle, x bicycles will be sold.

    a. find an expression for the total revenue from the sale of x bicycles.(revenue = demand x price)

    Solution. Denote by R(x) the total ...

    Solution Summary

    Derivatives are used to find maximum revenue. The solution is detailed and well presented.

    $2.19