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4. [2+4+4=10 points Rogers Place can hold a maximum number of 18,500 fans for an Edmonton Oilers hockey game. Based on historical data, at an average ticket price of $200, an average of 16,000 fans buy a ticket and attend the game. For each $5 that the average ticket price is increased (or lowered), 500 fans less (or more) buy a ticket. (a) [2 points) Let r(p) be the number of fans attending a game at an average price p. Determine the function r(p) assuming it is linear. (b) [4 points) What is the average ticket price at which the revenues are maximized? (c) [4 points) Because of hype around the team, the demand for tickets to Oilers hockey games has risen. At an average ticket price of $200, an average of 18,000 fans buy a ticket and attend the game this season. Still for each $5 the average ticket price is increased (or lowered), 500 fans less (or more) buy a ticket. Using this information, what is now the average ticket price at which the revenues are maximized