Question

You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend

Answer 1

To determine whether the hotel is undercooked or overcooked for the upcoming weekend, we compare the actual reservations with the expected reservations based on historical trends.

Step-by-step explanation:

To determine whether the hotel is undercooked or overcooked for the upcoming weekend, we need to compare the actual reservations with the expected reservations based on historical trends.

First, we calculate the expected number of individual reservations by multiplying the total number of rooms (1465) by the booking rate for individuals (67%).

Expected individual reservations = 1465 * 0.67 = 981.55 rooms

Next, we calculate the expected number of group reservations by multiplying the total number of rooms (1465) by the booking rate for groups (56%).

Expected group reservations = 1465 * 0.56 = 820.4 rooms

Finally, we add the expected individual and group reservations to get the total expected reservations:

Total expected reservations = 981.55 + 820.4 = 1801.95 rooms

Since the total expected reservations (1801.95) is greater than the actual reservations (296 individual + 651 group = 947), the hotel is undercooked for the upcoming weekend.

Answer 2

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual , 56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

= 296 + ( (296 / 67 ) * 33 )

= 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

≈ 1163

Total rooms booked = X + Y

= 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

= 1605 - 1465

= 140 ( Your Hotel is over booked )