题目

From a young age, I've had a really deep connection with being outside. I've been skiingsince I was eight or nine years old. I' ve been on expeditions(探险)in many places like China, Pakistan and so on. But it was in my home country, the USA, that I came closest to death.It was April, 2011. I was skiing in the Tetons with my friends Jeremy and Xavier, both experienced snowboarders. That day, I was the last person to ski. They were watching me from a safe area. Suddenly, I heard someone cry loudly. I turned around and saw the whole mountain start to move behind me. It was a massive avalanche(某厂按用户的月需求量x（件）完成一种产品的生产，其中x＞0，每件的售价为18万元，每件的成本y（万元）是基础价与浮动价的和，其中基础价保持不变，浮动价与月需求量x（件）成反比，经市场调研发现，月需求量x与月份n（n为整数，1≤n≤12），符合关系式x=2n2﹣2kn+9（k+3）（k为常数），且得到了表中的数据． 月份n（月）12成本y（万元/件）1112需求量x（件/月）120100（1）求y与x满足的关系式，请说明一件产品的利润能否是12万元；（2）求k，并推断是否存在某个月既无盈利也不亏损；（3）在这一年12个月中，若第m个月和第（m+1）个月的利润相差最大，求m．