A company has decided to promote from within to hire the new Vice President of the Research & Development Department. The hiring committee has decided that seniority will be the primary deciding factor. Dr$.$ Snow has less seniority than Dr$.$ Rain, but more seniority than Dr$.$ Ice. Dr$.$ Fog has more seniority than Dr$.$ Snow but less than Dr$.$ Rain. Dr$.$ Rain doesn't want to leave her current position. Who should the company select as the new Vice President of their Research & Development Department?