The Marriott Hotel in Central has 100 rooms available for Dec 31. There are two types of customers, business customers a

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The Marriott Hotel in Central has 100 rooms available for Dec
31. There are two types of customers, business customers and
leisure customers. Marriot charges a high rate of $250/night and a
low rate of $120/night. High-rate guests do not need pre-booking
and has time flexibility; low-rate guests need pre-booking. Assume
business customers always take the high rate option and leisure
customers always take the low rate option. Leisure customers always
book far earlier before business customers and there are sufficient
leisure customers. The total number of business customers is
uncertain and its demand distribution is given in the following
table:
Number of business customers
Probability
56
0.06
57
0.08
58
0.19
59
0.21
60
0.2
61
0.16
62
0.07
63
0.03
Suppose there is another hotel (Hotel B) nearby Marriott. Hotel
B has ample rooms and there is always a room available for walk-in
customers. If there is no available room for walk-in customer in
Marriott, the customer can be diverted to Hotel B and the two
hotels share the revenue from the diverted customer. Specifically,
the diverted customer pays $250 to Hotel B; Marriott gets $80 as a
referral fee and Hotel B keeps the remaining $170. In this
scenario, how many rooms should be protected for business customers
in Marriott?
Group of answer choices
59
62
58
61
60