2.) Maximizing revenue: The quantity demanded each month of the Sicard wristwatch is related to the unit price by the equation

p=50/0.01x^2 + 1 (0 < or = x < or = 20)

where p is measured in dollars and x is measured in units of a thousand. To yield a maximum revenue, how many watches must be sold?

3 answers

revenue = price * demand

Assuming the usual carelessness with parentheses,

r(x) = x*p(x) = x(50/(0.01x^2 + 1))

The maximum revenue is found at x=10.

See the graph and other info at

http://www.wolframalpha.com/input/?i=x(50%2F(0.01x%5E2+%2B+1))
I do not understand how to get 10....
Do I just plot the graph filling in 1 2 3 etc for x?