Maximizing Profits A manufacturer of tennis rackets finds that the total costC(x) (in dollars) of manufacturingxrackets/day is given by

C(x) =700+8x+0.0003x².

Each racket can be sold at a price ofpdollars,wherepis related toxby the demand equation

p=120.0002x.

If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer.Hint:The revenue is

R(x) =px,

and the profit is

P(x) =R(x)C(x).

rackets