Determine the expected mix of packages


Question 1:

The Hotel is due to have a refurbishment but rather than follow the current policy of simply replacing furnishings with a similar style you would like to investigate creating three discrete levels of accommodation to pitch specifically at the three clients groups which make up the Hotel's primary markets: business, tourist and special event clients.

You are proposing that 5 of the larger rooms in the 200 room Hotel would be themed for special events such as weddings, birthdays etc. In line with this, you are also proposing an increase in the quality and range of the complimentary products such a fruit bowl, drinks etc and will include butler service for these rooms. The business rooms will also have better quality products than tourist rooms and a business support person.

The Base room cost is for a standard room clean and service but depending on the type of room there will be a difference in other costs. Estimated costs for each of the room types is detailed below along with the budgeted cost limit.

                                         Business    Tourist    Special Event    Available budget
Complimentary products          55            20              65                  5,400
Direct labour                           10             7               12                  1,550
Base room costs                      50            50              50                 10,000
Variable overhead                    6              5                 9                  1,100

You have estimated the following prices per night for each of the room types. Due to limits on the number of guests who may access the business lounge at any time, a maximum of 40 business rooms can be sold per night.

                     Business      Tourist   Special Event
Selling Price    $200.00    $160.00    $220.00

Required:

a) Formulate a linear programming model to determine the expected mix of packages to offer to maximise profit, showing all supporting calculations, and solve using a computer package (eg solver in Excel) to derive an optimum accommodation mix.

b) Comment on the solution, was it what you expected? Why or why not? (10 marks)

Question 2:

Included in the staff tasks in the ORC is the job to set-up conferences, meetings and other small special events. An analysis of set-up costs indicates a reduction over time where similar corporate events are held which you have attributed to cost experience.

Required:

a) What is meant by the term 'cost experience'?
b) Explain what '80%' refers to when used in the term '80% cost experience curve'.
c) How would you determine the percentage value to apply?

Question 3:

Employees of the Hotel are drawn from three categories permanent, part-time and casual. The labour cost has been used as the basis for overhead costs allocation as the overhead costs include a large proportion of human resource. The current method is to calculate overhead cost per dollar of labour cost based on last years cost data using the formula:
(Overhead cost)/(Labour cost) = $0.048 per labour cost dollar.

You have obtained the following data regarding overhead costs and labour activity from the past 12 months.

Month    Number of Employees    Labour Hours    Labour Costs    Overhead Costs
Jan    70    32,000    480,000    27,500
Feb    65    26,000    390,000    27,000
Mar    70    30,000    450,000    30,000
Apr    75    42,000    630,000    32,000
May    80    45,000    675,000    33,500
June    87    55,000    825,000    35,500
July    92    65,000    975,000    37,000
Aug    70    31,000    465,000    38,500
Sept    75    50,000    750,000    37,500
Oct    75    45,000    675,000    34,000
Nov    80    76,000    1,150,00038,600
Dec    80    65,000    975,000    36,500
562,000    8,440,000407,600

You are concerned that this method may not be appropriate and would like to present to the Board of Management a review of the current method.

Required:

a) Plot the data on overhead costs and labour costs?

b) Determine the cost equation for overheads using

i. Labour cost and the following methods

High-low method
Regression analysis

ii. Number of employees and the following methods
High-low method

Regression analysis

c) Comment on the effectiveness of each method.

d) Based on your findings above how should overhead be allocated, why?

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Accounting Basics: Determine the expected mix of packages
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