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
How many rooms should Marriott reserve for business customers on
Dec 31 to maximize its revenue?
Group of answer choices
57
56
58
60
59