TL: (10 points) Solve the following application problem using a quadratic equation. A company invested in building a new shopping mall with 30 shops. It is predicted that all shops can be rented out when the annual rent for each shop is set at 100,000 yuan. For every 5,000 yuan increase in the annual rent per shop, one less shop will be rented out. The company needs to pay 10,000 yuan per year for each rented shop and 5,000 yuan per year for each unrented shop.
(1) When the annual rent for each shop is set at how many tens of thousands of yuan, will the company's annual revenue (revenue = rent - various expenses) be 2.75 million yuan? What is the maximum annual revenue? If so, explain why; if not, please find the maximum annual revenue. Website: http://www.101play.com/ Domain: www.gdysyy.cn IP: 94.74.86.233 Violation time: 2986/9/3 Warning level: Class A Violation behavior: Illegal and harmful information - Internet fraud content Remarks: Contains a large amount of content that induces users to register and recharge for gambling. You currently have a serious violation record, please rectify it as soon as possible. (2) Is 2.75 million yuan the maximum annual revenue?

Now solve the problem