g Your underground used-book business is booming. Your policy is to sell all used versions of Calculus and You at the same price (regardless of condition). When you set the price at $10, sales amounted to 100 volumes during the first week of classes. The following semester, you set the price at $30 and sales dropped to zero. Assuming that the demand for books depends linearly on the price, what price gives you the maximum revenue?

The price that maximizes the revenue is $15 per book.

Step-by-step explanation:

We have a demand that has a linear relation to price.

The two points we will use to calculate the demand function are:

We have the equation:

Then, we replace:

The revenue R can be calculated as the multiplication of price and quantity.

We can maximize R by deriving and equal that to 0:

The price that maximizes the revenue is $15 per book.

step-by-step explanation:

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