re: We will give you 6 days
I already participated in a design for a reusable man-rated system that could be launched on existing boosters and carry four people. It was for the Alternate Access program, although for that program we submitted only a cargo version, and kept the manned version to ourselves. Originally, the Alternate Access concept was supposed to have seen its first test launch sometime in 2003. Our concept used surplus Titan II rockets.
NASA was not interested. NASA is never interested in off-the-shelf ideas.
They will spend billions developing a fat Apollo capsule.