It depends some on what your son wants to do and if you have the money for 5 years of college. Some students might prefer to learn accounting or finance as a business discipline and others might prefer to learn say fluid dynamics, which would require a masters in engineering.
I don’t think RPI business college is doing to lead to a big time management consulting role, but believe it or not, a bachelors in history at Williams College with a minor in statistics will lead a student to management consulting.
Banking, management consulting and Wall Street jobs are gained through connections. RPI has some connections to those sorts of jobs, being close to NYC.
Purdue does have connections, in business, and their grads do go to finance positions in Chicago frequently as I understand it.
I would ask the schools about these programs and where graduates land. Purdue and RPI are very reputable schools. They will give your son an honest answer about where the five year engineer/management students land.
Colorado school of mines offers project management as a follow on to engineering. Those students may go into
data science, for instance. and not necessarily become engineering managers right away.
I see MIT graduates going to Uber as “product managers” with a bachelors in EECS.
So its very company and school dependent. I believe Purdue has a plan for their 5 year grads, ask
for placement statistics. Also, if your son is not yet a freshman, he will have time to decide for himself if he wants to study circuit design, mechanical design, operations research, and /or accounting and finance and management.
Students really need to be allowed to pick a major. You can suggest things, but the student will apply to graduate school, and by the way, they will likely need good grades at Purdue or RPI to get into this 5 year program, unless its a special preprofessional one that he gets into automatically from high school, he will still have to prove himself once he gets into the engineering curriculums at Purdue or RPI.
Don’t think too far ahead !