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The average ticket price for a concert at the opera house was $30. The average attendance was 3500. When the ticket price was raised to

The average ticket price for a concert at the opera house was $30. The average attendance was 3500. When the ticket price was raised to $35, attendance declined to an average of 3000 persons per performance. What should the ticket price be to maximize revenue for the opera house? (Assume a linear demand curve.)

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