Question $2($Total $50$ marks$)$

Pioneer Training is organizing a one$-$day seminar on Artificial Intelligent $($AI$).$ The venue rental and the speaker fee are $$20,000$ and $$8,000$ respectively. The estimated number of participants is $100$ and expected profit for the seminar is $$50,000.$ The cost of food and beverage is $$520$ per participant including running coffee and tea, and an executive lunch. A free complimentary executive lunch will be provided to the speaker.

Required:

$($a$)$ Calculate the total contribution margin and the total registration fee income for the seminar.

$(12$ marks$)$