A company is experimenting with the pricing on a calculator. They currently average 200 daily sales at a price of $10. Research suggests that if they raise the price of the calculator by 50¢ that they will make 5 fewer sales. It costs the company $4 to manufacture a calculator. a) Find an equation for the revenue the company will make.

b) Given that Profit = Revenue – Cost, find an equation for the profit the company can make.

c) What price should the company charge for a calculator in order to maximize the profit?