Thanks for all your help. I was able to figure this out by asking my professor. He basically told me that not being given W.in is beyond the scope of the class I am taking. I think I was over thinking the question and imagining all possibilities.
I have a general question, it's not homework or anything, we are studying heat pumps and thermal efficiencies and COP. There's an example in my book that has a heat pump that is heating a house and it asks to find the minimum theoretical cost per day. Of course the solution and detailed steps...