The school council sells sweatshirts to raise funds. The students sell 510 sweatshirts a year at $46 each. They are planning to decrease the price to generate more sales. An informal survey was taken showing that for every $1 decrease in price they can expect to sell an additional 21 sweatshirts. If the survey results are correct, what price would maximize revenue from sweatshirt sales? How many sweatshirts must be sold? What would be the maximum revenue generated?    - I need to know every step taken to get to the answer.

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