Yes, at the current situation of the dogecoin it is not profitable to mine the doge coin because instead of spending those money for mining better buy them in the market inorder to make profit by selling them when the price start increasing.
Mining other coins, which are more profitable, then sell those mined coins, and using BTC after selling to buy Dogecoin if you really love Dogecoin.
By the way, I also think that invest into Dogecoin is smart choice at the moment with its low price.