Olaf's Ski Rental rents skis, boots, and poles for $ 18 per day. The daily cost per set of skiis is $ 9. It includes maintenance, storage, and overhead. Daily profits depend on daily demand for skis and the number of sets available. Olaf knows that on a typical weekend the daily demand for skis is given in the table.

Probability	$0.1$	$0.175$	$0.425$	$0.2$	$0.1$
Number of Customers	$90$	$91$	$92$	$93$	$94$

a) Find the expected number of customers:
b) If 90 sets of skis are available, compute Olaf's expected profit:
c) If 91 sets of skis are available, compute Olaf's expected profit:
d) If 92 sets of skis are available, compute Olaf's expected profit:
e) If 93 sets of skis are available, compute Olaf's expected profit:
f) If 94 sets of skis are available, compute Olaf's expected profit:
g) How many sets of skis should Olaf have ready for rental to maximize expected profit?