According to a research​ institution, the average hotel price in a certain year was ​$91.85. Assume the population standard deviation is ​$18.00 and that a random sample of 41 hotels was selected. Complete parts a through d below. a. Calculate the standard error of the mean. sigma Subscript x overbarequals​$ nothing ​(Round to two decimal places as​ needed.) b. What is the probability that the sample mean will be less than ​$93​? Upper P left parenthesis x overbar less than $ 93 right parenthesisequals nothing ​(Round to four decimal places as​ needed.) c. What is the probability that the sample mean will be more than ​$96​? Upper P left parenthesis x overbar greater than $ 96 right parenthesisequals nothing ​(Round to four decimal places as​ needed.) d. What is the probability that the sample mean will be between ​$91 and ​$92​? Upper P left parenthesis $ 91 less than or equals x overbar less than or equals $ 92 right parenthesisequals nothing ​(Round to four decimal places as​ needed.) Enter your answer in each of the answer boxes.

the marcus hotel borrows $200000 from the spartan national bank the details are as follows:
a. Term of loan = 5 years
b. amortization rate = based on 10 years
c. frequency of payment = annual
d. interest rate = 6% required
1. prepare a loan amortization table for five years
2. what percentage of the loan was paid off over the five year period?
3. what was the total amount of interest paid?
4. what amount of interest will be paid over the 10 life of the loan?

a. how much be invested today to have 5,000 in five years if the interest rate is 6%?

b. at an effectives interest rate of 9%, what approximate amount will an investor have in 24 years if $5,000 is invested today?

c. Your sister, who is 6 years old today, just received a trust fund that will be worth $25,000 when she turns 21. IF the fund earns annual interest of 10% compounded quarterly, what is it today?

18. Armond is a shareholder of Brix and Mater Hotel Corporation. For the last few years, business has not been profitable for Brix and Mater. The firm has lost money on its operations. There has been some profit through sales of company assets, but the board of directors has refused to declare a dividend. This last year, the firm’s accountants failed to file fed­eral in­come tax returns and the board refused to pay the tax. Armond takes a close look at the firm and protests to the board, in particular over the fail­ure to declare a dividend, but the board ignores the complaint.

a. Which of these events, if any, would form a ground for a court to order the dissolution of Brix and Mater, on Armond’s petition?

b. If the court denies the petition, could Armond and the other shareholders dissolve Brix and Mater?

Work & Rest is an all inclusive hotel operating as a monopoly in a mid-sized community. The manager estimates that the hotel's total costs are described by the equation C = 0.1Q² + 20Q + 5000, where Q is the number or persons serviced and P is the price paid per person. Although it is located in a mid-sized community, it is close to a major highway that runs along the east coast. Often times, travelers would use the services of Work & Rest as a stop in their commute between two major citys. As such, the market demand for its service is described by the equation P = 170 - 0.2Q.

1. Given the current market conditions, Work & Rest's profit-maximizing quantity is  and the price charged per person is  ( 4 points)

Consider that after a series of reports from special interest groups, the local government decides to regulate Work & Rest by using the optimal pricing policy.

2. Given the successful implementation of the government's policy, Work & Rest's profit-maximizing quantity is  (2 points)

3. Given the successful implementation of the government's policy, what is Work & Rest's profit at its profit maximizing quantity?  (4 points)I

4. If the policy remains in place, and there are no further external shocks to the market, is it likely that West & Rest will continue to operate and provide service? (In the space provided enter will or will not)

In the long run, West & Rest  continue to provide service in this mid-sized community

• Assume you are working on budgeting for the room department of your hotel.
• Assume the hotel’s ‘Room Revenue (Sales)’ was $1,640,000 during 2016. Based on the lodging forecast report, you expect the ‘Room Revenue (Sales)’ to increase by 3.7% next year.
• Assume the ‘Guest Supplies’ expenses (variable costs) from the room department was $250,000 during 2016. For 2017, this variable cost will remain at the same percentage of the Room Revenue (Sales) as experienced in 2016.
• Assume the ‘Salaries’ expenses (fixed costs) from the room department was $280,000 during 2016. For 2017, this fixed cost will increase by 2% due to the expected increase in living expenses in this area.

1. What will be the budgeted ‘Room Revenue (Sales)’ for 2017?

2. What will be the budgeted ‘Guest Supplies’ expenses for 2017?

3. What will be the budgeted ‘Salaries’ expenses for 2017?

Work & Rest is an all inclusive hotel operating as a monopoly in a mid-sized community. The manager estimates that the hotel's total costs are described by the equation C = 0.05Q² + 10Q + 15000, where Q is the number or persons serviced and P is the price paid per person. Although it is located in a mid-sized community, it is close to a major highway that runs along the east coast. Often times, travelers would use the services of Work & Rest as a stop in their commute between two major citys. As such, the market demand for its service is described by the equation P = 160 - 0.2Q.

1. Given the current market conditions, Work & Rest's profit-maximizing quantity is Blank 1 and the price charged per person is Blank 2 ( 4 points)

Consider that after a series of reports from special interest groups, the local government decides to regulate Work & Rest by using the optimal pricing policy.

2. Given the successful implementation of the government's policy, Work & Rest's profit-maximizing quantity is Blank 3 (2 points)

3. Given the successful implementation of the government's policy, what is Work & Rest's profit at its profit maximizing quantity? Blank 4 (4 points)I

4. If the policy remains in place, and there are no further external shocks to the market, is it likely that West & Rest will continue to operate and provide service? (In the space provided enter will or will not)

In the long run, West & Rest Blank 5 continue to provide service in this mid-sized community. (2 points)

The Krasnapolski is a top-of-the-line hotel in Amsterdam, the Netherlands. Among their many services, they rent bicycles to guests. The bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. On average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. Guests keep bicycles for four days on average, with a standard deviation of two days. Remember: any time you see the term "random" associated with the job arrivals it means the coefficient of variation is equal to one; that is, the standard deviation in the time between arrivals is equal to the mean time between arrivals.

How long does a guest on average have to wait for a bike?

1. Approximately 47 minutes

2. Approximately 4 days

3. Approximately 24 hours

4. Approximately 0.033 hours

Herman Swayne is a waiter at the Dixie Hotel. In his first weekly pay in March, he earned $360.00 for the 40 hours he worked. In addition, he reports his tips for February to his employer ($700.00), and the employer withholds the appropriate taxes for the tips from this first pay in March.

Calculate his net take-home pay assuming the employer withheld federal income tax (wage-bracket, married, 2 allowances), social security taxes, and state income tax (2%).

Enter deductions beginning with a minus sign (-).

Click here to access the Wage-Bracket Method Tables.