Get expert insights and community support for your questions on IDNLearn.com. Find in-depth and trustworthy answers to all your questions from our experienced community members.

The tourist industry is subject to enormous seasonal variation. The Fulbari Resort in Pokhara has recorded its occupancy rate (percentage of total rooms) for each quarter during the last 4 years. These data are shown in the following table.

[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
\multirow{2}{*}{Year} & \multicolumn{4}{|c|}{Occupancy Rate (\%)} \\
\cline{2-5}
& $Q_1$ & $Q_2$ & $Q_3$ & $Q_4$ \\
\hline
2008 & 56 & 70 & 80 & 60 \\
\hline
2009 & 57 & 73 & 86 & 62 \\
\hline
2010 & 60 & 74 & 90 & 65 \\
\hline
2011 & 66 & 83 & 87 & 87 \\
\hline
\end{tabular}
\][/tex]


Sagot :

To find the average annual occupancy rate for each year, you need to follow these detailed steps:

1. Understand the data: We have occupancy rates for each quarter (Q1, Q2, Q3, Q4) over four years (2008, 2009, 2010, 2011).

2. Extract the data:
- For 2008: Q1 = 56%, Q2 = 70%, Q3 = 80%, Q4 = 60%
- For 2009: Q1 = 57%, Q2 = 73%, Q3 = 86%, Q4 = 62%
- For 2010: Q1 = 60%, Q2 = 74%, Q3 = 90%, Q4 = 65%
- For 2011: Q1 = 66%, Q2 = 83%, Q3 = 87%, Q4 = 87%

3. Calculate the annual average occupancy rate:
- For each year, sum the occupancy rates of all four quarters and divide by 4 (since there are 4 quarters in a year).

4. Computation:
- For 2008:
[tex]\[ \text{Average occupancy rate} = \frac{56 + 70 + 80 + 60}{4} = \frac{266}{4} = 66.5\% \][/tex]
- For 2009:
[tex]\[ \text{Average occupancy rate} = \frac{57 + 73 + 86 + 62}{4} = \frac{278}{4} = 69.5\% \][/tex]
- For 2010:
[tex]\[ \text{Average occupancy rate} = \frac{60 + 74 + 90 + 65}{4} = \frac{289}{4} = 72.25\% \][/tex]
- For 2011:
[tex]\[ \text{Average occupancy rate} = \frac{66 + 83 + 87 + 87}{4} = \frac{323}{4} = 80.75\% \][/tex]

5. Summarize the results:
- 2008: 66.5%
- 2009: 69.5%
- 2010: 72.25%
- 2011: 80.75%

Therefore, the annual average occupancy rates for the Fulbari Resort in Pokhara over the four years are 66.5% (2008), 69.5% (2009), 72.25% (2010), and 80.75% (2011).