Right now, the selling price for a case of flavored seltzer water is $5, and at this price level, 3000 are demanded per month. The company wishes to increase revenue, and as the result of a sale, they conjecture that for every dollar the selling price decreases, the demand increases by 1000 units.

a) Write function for the revenue with the original price of each case is decreased by x

Dollars. (Remember: Revenue = # Cases * Price Per Case)

b) What price level and quantity will maximize revenue? Keep in mind that this is a calculus

class and I expect you to use calculus to get your answer.