A coffeeshop determines that it can sell 3000\displaystyle {3000} cups of coffee at a price of $1.50\displaystyle {1.50}, but for every $1 increase in the price, their sales will decrease by 1800 cups and for every $1 decrease, their sales will increase by 1800 cups.

A function giving the revenue earned when the price of coffee is x\displaystyle {x} dollars per cup is R(x)=\displaystyle {R}{\left({x}\right)}=  

The coffeeshop can earn a maximum of when the price of a cup of coffee is $ (round your answers to two decimal places)

   

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