I am the multi trillionaire owner of Handwaveum Inc. who has always been fascinated with travel and living among the stars. I live in your near future where we have developed technology that allows us to finally colonize Mars! We can travel to and from Earth in a matter of months so while re-supply is possible rapidly responding to crisis will be difficult. We will have 200 intrepid volunteers who's job it will be to maintain the habitat for a period of 20 years to test the viability of colonizing the Red Planet. The habitat itself is a fully contained dome with about 1 square mile of space on the ground. The habitat will support life, crops, air, etc through the technology of Handwaveum and the monthly supply drops can bring in any other needed supplies to sustain life.
My question is, what is the optimal mix of professions required for my volunteers to succeed living 20 years away from Earth on an inhospitable planet with only monthly supply drops to assist them?
Professions existing in your 21st Century are sufficient. The volunteers will include individuals from Handwaveum that will be able to maintain the Habitat's advanced technology and should not count among the professional mix.
The individuals will have a mixture of genders
Individuals will live, work, play, and fully exist in an enclosed habitat for 20 years.
Exit from the habitat is possible through air locks in space suits but there are no other habitable locations thus far on the planet.
The mission is to conclude if a small number of humans can thrive in an enclosed environment such as the one described. The professional mixture should support this end.
EDIT: As Alexander and pojo-guy have noted we here at Handwaveum Inc. have no desire for our intrepid explorers to feel cramped in their confines. We have (miraculously of course) expanded the habitat to a square mile of space (640 acres)! While the individuals will be getting regular supplies (including footstuffs) from the supply drops, they could certainly use some of the space for agricultural pursuits to supplement and augment the supplies received.