A company sells 4000 items a day at $50 each. They recently tried to raise the price by $ 0.5 and found they sold 50 less items a day.
(a) If the number of items they sell in a day N is linearly related to the sale price p (in dollars), find an equation for N as a function of p.
(b) Find an equation for the revenue R as a function of p.
(c) Find the value of p that will maximize the revenue.
(d) Find the maximum revenue.
