Make program first read from pipe, then from keyboard

Consider the interactive program interactive. I have to run this program fairly frequently, and each time I run it the first few commands are the same. Obviously, having to type those commands over and over again is a pain. I have collected those command (separated by newlines) in the file cmd. Now I can do cat cmd | interactive to run the commands. The problem is that once cmd has been fully read, interactive recieves EOF and exits.