4. A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket. price set at $12, average attendance at a game has been 11,000. A market survey indicates that for each dollar the ticket price is lowered, average attendance will increase by 1000. How should the owners of the team set the ticket price to maximize their revenue from ticket sales? Justify your answer. (Let a denote the value of decrement in ticket price.)

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