4. As the manager of a local hotel chain, you have hired an econometrician to estimate the demand for one of your hotels (H). The estimation has resulted in the following demand function:

QH = 3,000 – PH – 1.8PC – 2.5PSE + 2.4POH + .01M, where,

PH is the price of a room at your hotel, PC is the price of concerts in your area,

PSE is the price of sporting events in your area,

POH is the average room price at other hotels in your area, M is the average income in the United States.

What would be the impact on your firm of each following scenarios?

(all answers should indicate the precise increase or decrease in the number of rooms rented)

1. A $4,000 increase in income?
2. A $30 reduction in the price charged by other hotels?
3. A $40 increase in the price of tickets to local sporting events?
4. A $25 increase in the price of concert tickets, accompanied by a $500 decrease in income?

Carolyn and Sanjay are neighbors. Each owns a car
valued at $10,000. Neither has comprehensive insurance
(which covers losses due to theft). Carolyn’s
wealth, including the value of her car is $80,000.
Sanjay’s wealth, including the value of his car is
$20,000. Carolyn and Sanjay have identical utility
of wealth functions, U(W) = W0.4. Carolyn and
Sanjay can park their cars on the street or rent space
in a garage. In their neighborhood, a street-parked
car has a 50% probability of being stolen during the
year. A garage-parked car will not be stolen.
a. What is the largest amount that Carolyn is willing
to pay to park her car in a garage? What is the
maximum amount that Sanjay is willing to pay?
b. Compare Carolyn’s willingness-to-pay to Sanjay’s.
Why do they differ? Include a comparison
of their Arrow-Pratt measures of risk aversion.
(Hint: See Solved Problem 16.4.) M

Consider eruptions of Old Faithful geyser in Yellowstone National Park. The distribution of eruptions is said to be roughly normal and based on a study done in the park in 2011 has a mean time between eruptions of 93 minutes with a standard deviation of 9.5 minutes.

A)You have watched the Geyser erupt, but your friend missed it. What is the probability that he will have to wait less than an hour to see it?

B)What is the probability your friend has to wait more than 100 minutes to see the eruption?

C)Suppose you decide to study this geyser over an extended period. You watch 20 eruptions and record the time between each. What is the probability that the mean from your sample is more than 100 minutes (assuming that the original data is true)?

D)What would our probability be if we studied 60 eruptions instead?

A travel analyst claims that the mean room rates at a three-star hotel in Chicago is greater than $152. In a random sample of 36 three-star hotel rooms in Chicago, the mean room rate is $160 with a population standard deviation of $41. At α=0.10, what type of test is this and can you support the analyst’s claim using the p-value? Claim is the alternative, reject the null as p-value (0.121) is not less than alpha (0.10), and can support the claim Claim is the null, fail to reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim Claim is the null, reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim Claim is the alternative, fail to reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim

A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $25.89, with a standard deviation of $3.10. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.

(a) According to Chebyshev's theorem, at least ?56%75%84%89% of the fares lie between 19.69 dollars and 32.09 dollars.

(b) According to Chebyshev's theorem, at least 8/9 (about 89%) of the fares lie between dollars and dollars. (Round your answer to 2 decimal places.)

(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the fares lie between dollars and dollars.

(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?68%75%95%99.7% of the fares lie between 19.69 dollars and 32.09 dollars.

A survey found that​ women's heights are normally distributed with mean 63.9 in. and standard deviation 3.1 in. The survey also found that​ men's heights are normally distributed with mean 69.1 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts​ (a) and​ (b) below.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement​ park?

The percentage of men who meet the height requirement is __%.

​(Round to two decimal places as​ needed.)

b. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?

The new height requirements are a minimum of__in. and a maximum of __in.

​(Round to one decimal place as​ needed.)

1. A currency swap specifies the exchange of currencies at periodic intervals and may allow the MNC to have cash outflows in the same currency in which it receives most or all of its revenue.

In a comparison of two alternative loans with different debt denominations for the foreign subsidiary we see the following: The Global Hotel Company’s Belizean subsidiary obtains a BZ$40 million loan at an annualized interest rate of 5.5% or arranges a loan of US$20 million with a 4% interest rate.

Calculate the amount repaid in both Belizean dollars and US dollars in interest and principal and determine which is a better borrowing plan for the Global Hotel Belizean subsidiary.

As a young entrepreneur, you are planning to open a budget hotel with a start-up capital of RM 350,000. The hotel will have single-bed rooms with an expected rate of RM 90 per room. An average room occupancy rate is about 250 per month. Annual operating expenses for which cover administration, utility and maintenance costs are about RM 80,000. The cash flows will be expected to remain unchanged for the next 10 years. It is expected that the before-tax minimum attractive rate of return (MARR) is 15% per year.

(i) What is the required average room occupancy rate per month to just breakeven?   

(ii) What is the new required average room occupancy rate per month to just breakeven, if the annual operating expenses increase by RM 7,500 each year starting from year 2? Assume other factors remain unchanged.

Discussion: Profitability Analysis

A large, downtown hotel allocated all of its restaurant labor costs on the basis of revenue dollars. This hotel had seven restaurant outlets that were vastly different, including banquet, room service, a bar, a 24-hour restaurant, and a fine dining facility. There are obvious differences in the way labor resources are consumed in these various outlets. However, the most glaring example was in the banquet operation. Since banquets were not regularly scheduled events, the banquet manager hired servers as contract laborers. These costs were not included in the restaurant labor pool. Suggest at least two steps the manager should take to ensure that all labor is factored into the profitability analysis. The textbook discusses level 1, 2 and 3 variances. Suggest the variance analysis that would pinpoint the issue with the budget. Provide specific examples.

Exercise 1: Average daily hotel room rate (x) and amount spent on entertainment (y) is given in the following table for different cities. a.       Use these data to develop an estimated regression equation that could be used to predict the amount spent on entertainment for a given average daily hotel room rate. b.       What is the value of sample correlation coefficient? c.       Compute the coefficient of determination. What percentage of the variation in total amount spent on entertinment can be explained by room rate? d) Predict the amount spent on entertainment for a particular city that has a daily room rate of $89. City Room Rate ($) Entertainment ($) Boston 148 161 Denver 96 105 Nashville 91 101 New Orleans 110 142 Phoenix 90 100 San Diego 102 120 San Francisco 136 167 San Jose 90 140 Tampa 82 98