This is Section 3.8 Problem 32: A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats. (a) The demand function, expressed by p, the price in dollars charged for each ticket, as a function of x, the number of average attendance, is geD(x)= -20x 14 00 x , where x is defined between 25 30 x and (b) The revenue function is R0% -20x2 + 1400x X , where x is defined between 25 x and 30 (c) To maximize its revenue, the price the concert organizer charges should be 35 Xdollars for each ticket. (Keep 2 decimal places (rounded), unless the exact answer has fewer decimal places.) Hint: Follow Example 4