Subaru - Impreza :: 2012 - Low Oil Light Comes On

I have a 2012 Subaru Impreza 5spd, I bought it new about a year ago and every +- 2000 miles my low oil light comes on. The Subaru dealer is telling me this is normal. After happening 5 times in the past year I am getting fed up and believe there is something wrong with the engine. I Know many people with newer Subarus and none of them are having this issue with the oil light. When the light comes on and I check the oil I see that I am a full quart low, the dipstick comes out dry. The dealer has been insisting that this is consumption is normal. I finally called corporate last week and when they returned me call they told me that after contacting the dealer there was no evidence of low oil levels.

I attribute this to the fact that the dealer told me to top the oil off before driving, so of course the oil levels will appear fine when I bring the car in the next day. Regardless the woman from subaru corporate told me that consumption of a quart within 1200 miles is abnormal, however, she never said that it was normal for consumption rates of a quart per 2000 miles. So is this rate of consumption normal, and should I be concerned? There is no leaking oil that I can see, also where does the oil go in a closed system? I don't smell burning oil or see any smoke in the exhaust. I have begun carrying oil with me due to the frequency of this and am scared to drive it when the light comes on because I feel it will damage the engine.