A start-up law firm decides to rent three conference rooms for four weeks; they intend to use these rooms to schedule deed signings and depositions.

(1) In order to obtain a positive rating, they have to have at least one week with 12 or more depositions. As they cannot predict the exact times in advance, what is the minimal number of depositions that they need to schedule in this four-week period to obtain this standard?

(2) If they schedule exactly 10 deed signings each week during this period, then at least one of the conference rooms will be used how many times for deed signings?

(3) If each room can only be used 8 times per week, can they schedule 55 deed signings and 44 depositions during this period?