On average, 90 patrons arrive per hour at a hotel lobby (interarrival times are exponential) waiting to check in. At present there are five clerks, and patrons wait in a single line for the first available clerk. The average time for a clerk to service a patron is three minutes (exponentially distributed). Clerks earn $10 per hour, and the hotel assesses a waiting time cost of $20 for each hour that a patron waits in line. If needed, round your answers to the nearest cent. a. Compute the expected cost per hour of the current system. $ b. The hotel is considering replacing one clerk with an Automatic Clerk Machine (ACM). Management estimates that 20% of all patrons will use an ACM. An ACM takes an average of one minute to service a patron. It costs $48 per day (one day equals eight hours) to operate an ACM. Should the hotel install the ACM? Assume that all customers who are willing to use the ACM wait in a separate queue. The hotel replace the clerk with an ACM, as the total hourly cost would to $ .

Question 2

Suppose there is enough room for a maximum of three (3) cars to park around a fire hydrant. The harm resulting to society rises as additional cars park around the fire hydrant. This is because as more cars park, it becomes more costly for firefighters to navigate their water hoses around the stationary vehicles. The total (not marginal) cost to society as a function of the number of parked cars around a fire hydrant is as follows:

a. If each driver’s gain from parking a car around the fire hydrant is constant at $20, how many cars should park around the fire hydrant from an economic perspective? (Hint: you need to find the marginal cost to society to answer this part.)

b. What is the maximum level of total surplus resulting from parking around the fire hydrant? How many cars should park around the fire hydrant from an economic perspective?

QUESTION TWO

1. Discuss the capital allowances available to hotel owners and the capital expenditures that qualify for such allowances.                                                                                                            
2. Wageni tourist hotel ltd. Is a five star hotel in Mombasa. The hotel provided the following information,

1. Written down values as at 31.12.2018

Disposals during the year.

2. Additions during the year

1. Computer            350,000.00
2. Fax Machine        40,000.00
3. Photocopier         160,000.00
4. Beds                    500,000.00
5. New hotel building                      5,000,000.00

      The new hotel building was brought to use on 1.9.2019

3. The old hotel building was first brought in to use on 1.1.2014 at a cost of Sh. 8,000,000.00
4. A saloon car which cost sh. 1,200,000 in 2014 was traded in for a new car costing Sh. 900,000.00. The old car was valued at Shs. 600,000 and the company paid a balance of shs. 300,000.00

Required

1. Compute capital allowances due to the company for the year ended 31.12.2019.            
2. Show the written down value of all the assets as at 31.12.2019. Comment on Class I balance.

The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1200 voters in the town and found that 76% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is above 73%. Make the decision to reject or fail to reject the null hypothesis at the 0.10 level.

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 900 voters in the town and found that 75% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 72%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?

The structure of the hotel industry

1- Describe the organizational chart of a 68-room, economy class hotel, franchised under a major chain’s logo, which has no food and beverageservice, not even breakfast.
2- Sketch the floor plan of the same hotel described abov

FORECASTING AVAILABILITY AND OVERBOOKING

A- On October 6, a 300-room property had occupancy of 70%. What is forecasted occupancy for October 7 if:
• 10 rooms are put out-of-order at 9am on October 6
• 150 rooms are on reservation
• Registration information indicates 101 rooms will depart today
• The hotel as an historical 6% cancellation rate
• The hotel as an historical 10% no-show rate

B- Assume that a 200-room hotel sold 50% of its rooms last night. Today, we anticipate that 75 rooms will depart. We hold60 6pm reservations and 90 guaranteed reservations. There are no advance deposits. What is the forecasted number of rooms available for sale
C- Assume that a given property has 300 rooms. After accounting for the day's departures and arrivals, 100 roomsremain unsold. Of these 100 rooms available, 50 rooms cannot be sold because they are out-of-inventory. In this case, theforecasted occupancy percentage would be

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this is not a marketing class its front office

NRE Construction Company commences the construction of specialised fast carriages on 1 July 2019. It signs a fixed-price contract for total revenue of $180million. It was revised to 185 million in 2022. The project is expected to be completed by the end of 30 June 2022. The expected cost at the commencement of construction was $160 million. The expected costs to complete a construction project can change throughout the project. The following data relate to the project:

The contract is completed as expected on 30 June 2022. NRE Construction Company uses the percentage-of-completion method to account for its construction contract. Company's financial year end 30 June every year.

REQUIRED

a) Compute the gross profit to be recognised for each of the three years

b) Provide the journal entries for each year. Assume the stage of completion can be reliably determined. (Exclude journal narrations)

Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. The Classic Corvette Owners Association scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are possible: convention customers/two-night package; convention customers/Friday night only; convention customers/Saturday night only; regular customers/two-night package; regular customers/Friday night only; and regular customers/Saturday night only.

The cost for each type of reservation is shown here:

The anticipated demand for each type of reservation is as follows:

Hanson Inn would like to determine how many rooms to make available for each type of reservation in order to maximize total revenue.

1. Define the decision variables and state the objective function. Round your answers to the nearest whole number.
   

   Let	CT = number of convention two-night rooms
   	CF = number of convention Friday only rooms
   	CS = number of convention Saturday only rooms
   	RT = number of regular two-night rooms
   	RF = number of regular Friday only rooms
   	RS = number of regular Saturday only room

   CT

   +

   CF

   +

   CS

   +

   RT

   +

   RF

   +

   RS

2. Formulate a linear programming model for this revenue management application. Round your answers to the nearest whole number. If the constant is "1" it must be entered in the box.
   

   CT

   +

   CF

   +

   CS

   +

   RT

   +

   RF

   +

   RS

   S.T.

   1)	CT
   2)	CF
   3)	CS
   4)	RT
   5)	RF
   6)	RS
   7)	CT	+	CF
   8)	CT	+	CS
   9)	CT	+	CF	+	RT	+	RF
   10)	CT	+	CS	+	RT	+	RS
   11)	CT,	CF,	CS,	RT,	RF,	RS			0

3. What are the optimal allocation and the anticipated total revenue? Round your answers to the nearest whole number.
   

   Variable	Value
   CT
   CF
   CS
   RT
   RF
   RS

   
   Total Revenue = $  
   
4. Suppose that one week before the convention the number of regular customers/Saturday night only rooms that were made available sell out. If another nonconvention customer calls and requests a Saturday night only room, what is the value of accepting this additional reservation? Round your answer to the nearest dollar.
   
   The dual value for constraint 10 shows an added profit of $   if this additional reservation is accepted.