# 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.

$2.49