Can you answer this math problem for 10 points
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Can you answer this math problem for 10 points

[From: ] [author: ] [Date: 11-10-21] [Hit: ]
I hope that helps!!......
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 101 volumes during the first week of classes. The following semester, you set the price at $30 and sold not a single book. Assuming that the demand for books depends linearly on the price, what price gives you the maximum revenue?

how much per book?
what does the revenue amount to?

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Hi,

Points made from (price, # sold) are (10,101) and (30,0). The slope of this line is found by:

101 - 0
----------- = -101/20 = m
10 - 30

y = -101/20(x - 30)

Maximum revenue = -101/20(x - 30)*x

The maximum occurs when the price is set at $15, and the total revenue is $1,136.25.

This comes from finding the maximum value on the graph of this equation on the TI-83.

I hope that helps!! :-)
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