Visa applications for family traveling together

Hi there,
Couple of questions please for a family of four planning to travel together to China: We are holders of Canadian passports and would be planning to visit China for two months. The father would be traveling on an academic sabbatical (visiting a professor colleague at ShanghaiTech) and the mother plus two children as accompanying family members.
1. Would the major purpose of visit be "Business & trade" for the father and "Tourism" for the rest of the family?
2. We would need to complete four applications I presume? However it would only be necessary for one of us to come to the Embassy in Bern in person to submit the applications and pick-up the passports post-decision?
Many thanks for your advice!
Kind regards,