题目

The Internet is full of false information. It is important for us all to avoid being fooled by such information. Here are three examples of Internethoaxes.On his website, a man by the name of Tony has asked for money to save the life of a pretty little rabbit named Toby that he saved from under his house. A cat must have attacked the rabbit, the man said, so he took it in. he gave Toby loving care and nursed him back to health. There is a very cruel point, however. If the man doesn’t receive enough money, he will eat poor little Toby. (Don’t worry, though. Remember, it’s just a hoax!)Whi某分公司经销某种品牌产品，每件产品的成本为3元，并且每件产品需向总公司交a元(3≤a≤5)的管理费，预计当每件产品的售价为x元(9≤x≤11)时，一年的销售量为(12－x)2万件．(1)求分公司一年的利润L(万元)与每件产品的售价x的函数关系式；(2)当每件产品的售价为多少元时，分公司一年的利润L最大？并求出L的最大值Q(a)．