What is the largest queue of students that forms

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Reference no: EM132372125

Assessment

You and a few friends have just graduated from Charles Sturt University and see in the newspaper the opportunity to submit a tender to build 6 new medical centres. The medical centre is a franchisee of Mediocre Medical Centres (MMC). If the tender is successful, part of the job will involve designing a prototype medical centre which will consist of 10 consulting rooms, 2 surgery's, a community health section, pharmacy and a café. You are required to present your responses as a business report addressed to MMC.

Question 1

Management of the new medical centre wants you to simulate the day appointments schedule for one doctor. An analysis has been done predicating one week's operation and has come up with the following results:

Time between arrivals

Number of occasions

10

15

15

30

20

25

25

20

30

10

 

Appointment length

Number of occasions

7

40

12

20

15

20

20

10

30

10

Required:

1. What is the probability that the time between arrivals will be 20 minutes or more?

2. What is the probability that the appointment time will be 12 minutes or less?

3. Using Monte Carlo, simulate 10 arrivals and 10 appointments using random numbers:

4. After 5 simulations, what is the total waiting time of patients?

5. What is the total idle time of the doctor at the end of the first hour?

6. What is the largest queue of students that forms?

Question 2

MMC has just completed a prototype of a medical room and has the following information

Direct construction material                                                 $80,000

Direct labour time for the first unit (hours)                              3,000

Learning curve for constructing the room                                 90%

Labour cost                                                                        $25

Variable overhead costs                                                        $15

Required
1. Calculate the total variable costs for producing 2, 4 and 8 rooms
2. Explain what is meant by a ‘learning curve' and the role learning curves have in cost estimation.
3. How does a learning curve differ from an experience curve?
4. What is an 80% cost experience curve?

Question 3

The medical centre tender selection panel have provided you with some estimated figures of the number of emergency appointments, patients per day and the associated administrative costs for the first year of operation. Below is the summary of the year's expected patients. It has been estimated that the clinic's relevant range is 150 to 300 patients per day.

Month

Emergency appointments

Patients per day

Administrative costs ($)

January

30

350

2780

February

32

125

1400

March

20

100

1200

April

30

250

2000

May

34

325

2380

June

38

225

1840

July

26

275

2040

August

24

75

820

September

34

175

1880

October

34

300

2220

November

26

150

1660

December

42

375

3220

Required:

1. Draw a scatter diagram of the clinics' administrative costs and patients per day during its first year of operations.

2. Mark the clinics' relevant range of activity on the scatter diagram

3. Use the high-low method to estimate the behaviour of the clinics' administrative costs based on patients per day within the relevant range. Use an equation to express the results of this estimation method.

4. What is your prediction of the clinics administrative costs during the month when 200 patients visit?

5. Identify the number of emergency appointments, patient load and administrative costs for each month within the relevant range

6. Construct an excel spreadsheet and create a regression analysis to estimate

1. An equation with patient per day, predicting administrative cost within the relevant range
2. An equation with both activities - patients per day and number of emergency appointments, predicting administrative costs within the relevant range
3. Does the inclusion of an additional cost driver improve the model? Explain your answer

Question 4

Mediocre Medical Centre would like you to investigate building a florist in the medical centre. There would be 3 products: Roses, Natives and Imported flowers. Based on an analysis from another florist shop, there seems to be considerable variation in sales volume and variable costs. You believe that the forecast should be evaluated from a cost-volume-profit viewpoint. The preliminary budget information is as follows:


Roses

Natives

Imported

Units sales

50,000

50,000

100,000

Unit selling price

$30

$45

$54

Variable cost per unit

$19

$26

$34

Variable selling cost per unit

$7

$10

$12

For the coming year, fixed manufacturing overhead is budgeted at $400,000. The company's fixed selling and administrative costs are forecast to be $350,000. Mediocre Medical Centre will pay tax at 40%.

Required:

1. Determine MMC budgeted net profit for the coming year

2. Assuming the sales mix remains as budgeted, determine how many units of each product MMC must sell in order to break even in the coming year.

3. After preparing the original estimates, management determines that the variable manufacturing cost of imported flowers would increase by 20% and the variable selling cost of natives could be expected to increase by $3.00 per units. However, management has decided not to change the selling price of either product. In addition, management have learned that imported flowers are perceived to be the best value for money, and they can expect to sell three times as many imported flowers as each of their other products. Under these circumstances, determine how many units of each product MMC would have to sell in order to break even in the coming year.

4. Write a one-page memo to management, recommending what action they should take, as determined in Parts 2 and 3. Provide justification for your choice.

Question 5

1. Describe what qualitative forecasting models are. What are the advantages and disadvantages of this modelling?

2. "High correlation between two variables means that one is the cause and the other is the effect". Explain this statement

Subject learning outcomes

This assessment task will assess the following learning outcome/s:
• be able to apply decision theory to business situations.
• be able to explain the use of simulation in complex decisions.
• be able to demonstrate understanding of the application of statistical hypothesis testing to decisions, with particular emphasis on quality control and interpreting the significance of regression coefficients in cost estimation.
• be able to apply cost-volume-profit analysis and linear programming to product mix decisions.
Graduate learning outcomes

This task also contributes to the assessment of the following CSU Graduate Learning Outcome/s:
• Academic Literacy and Numeracy (Application) - CSU Graduates consider the context, purpose, and audience when gathering, interpreting, constructing, and presenting information.

Reference no: EM132372125

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