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## Management Accounting, simulations & linear programming

Picture this: 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.  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.   The difference in this design is the floor needs to be rotating enabling patients to be moved around without walking.

Your mates are Arty the architect, Doc the doctor, Mark the marketing manager and yourself a management accountant.  As a group you work on the tender criteria together.

Question 2                                                                                                                               (10 marks)

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. a) What is the probability that the time between arrivals will be 20 minutes or more?      (1 mark)
2. b) What is the probability that the appointment time will be 12 minutes or less?              (1 mark)
3. c) Using monte carlo simulation with the random numbers below, simulate 5 arrivals and 5 appointments:                                                                                                                          (4 marks)
 Random numbers: Random number Arrival time Appointment length 35, 92, 05, 44, 75 4, 2, 6, 9, 4
1. d) After 5 simulations what is the total waiting time of patients?                                     (2 marks)
2. e) What is the total idle time of the doctor at the end of the first hour?                           (1 mark)
3. f) What is the largest queue of students that forms?                                                                    (1 mark)

Question 3                                                                                                                               (15 marks)

Your mate Arty the architect is feeling overwhelmed by the idea of designing the rotating the floor in the medical centres, and questions if it is worthwhile in the long-run spending all the time designing and building

Required

1. a) Explain to Arty what is meant by a ‘learning curve and explain the learning curves role in cost estimation.                                                                                                                        (5 marks)
2. b) How does a learning curve differ from an experience curve?                                    (5 marks)
3. c) What is an 80% cost experience curve?                                                                                   (5 marks)

Question 4                                                                                                                               (20 marks)

Once the medical centre is up and running the company is looking into setting up a shared services centre which will be responsible for accounts payable and receivable.  To also help control costs the centres pharmacy will supply all the medical supplies that the doctors need.   The pharmacy will be open 24 hours a day.  A pharmacy employee will restock medical supplies every night at a cost of \$40.00 per room for 6 months and then the price will increase to \$42.50 for the next 2 years.  The medical centre manager has however received a costing from an outside pharmacy (Dealers Direct) that will perform the same role at a cost of \$27.50.  The variable cost per room is \$ 23.00.  The medical centre pharmacy has capacity to supply the room’s needs

The medical centre manager wants to use Dealers Direct to provide all the medical supplies and is looking to you to help prepare an analysis to support his change of pharmacy.

Required

1. a) Explain how transfer pricing is relevant in a shared services environment.  In your answer explain the meaning of shared services and outline their advantages and disadvantages.              (5 marks)
2. b) What would be a suitable price for the medical centre to accept from the pharmacy, explain your answer?                                                                                                                        (5 marks)
3. c) Would the transfer price alter if the medical centre has no spare capacity?  Explain your answer                                                                                                                                           (5 marks)
4. d) Describe the potential conflict between the medical centre management and the company as a whole when it comes to deciding transfer pricing situations.  In your response include a discussion of why it is not desirable for the Board of directors to get involved.                                              (5 marks)

Question 5                                                                                                                               (15 marks)

Marty the marketing manager would like you to review one of his marketing strategies he has put together.  He is aiming at offering ‘experience packages’ for patients with a point of difference being the main focus.  Patients will come in and be pampered and has come up with 3 packages which offer varying degrees of medical treatment. You are however a little concerned about the figures in his proposal.

The packages consist of either a luxurious, customary or standard experience.  The packages use all the same equipment and cost the same to prepare but depending on the type of service there is a difference in cost.  An estimated cost of each package is below including the budgeted cost limit.

 Standard Customary Luxurious Available Budget Price \$250.00 \$400.00 \$500.00 Direct labour \$75.00 \$125.00 \$200.00 \$1000 Preparation \$50.00 \$50.00 \$50.00 \$500 Clean-up \$50.00 \$75.00 \$75.00 \$500 Variable overhead \$50.00 \$100.00 \$150.00 \$500

Required:

1. a) Formulate a linear program to determine the expected mix of medical treatments to ensure the maximum profit is obtained.  Provide all workings and solve using a computer package (eg solver in excel) to generate the ideal solution.                                                                              (8 marks)
2. b) You have reviewed Marty budget and think his figures are incorrect and the available budget for direct labour is more like \$2,000.00, preparation is \$1000, clean-up is \$1,500 and variable overhead is more realistic at \$1,750.  Re-run solver to see if the outcome has changed and make comment.                                                                                                                                         (7 marks)

Question 6                                                                                                                               (30 marks)

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 years expected patients.  It has been estimated that the clinics 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. a) Identify the number of emergency appointments, patient load and administrative costs for each month within the relevant range                                                                                              (5 marks)
2. b) Construct an excel spreadsheet and create a regression analysis to estimate
3. An equation with patient per day predicting administrative cost within the relevant range                                                                                                            (2 marks)
4. An equation with both activities – patients per day, number of emergency appointments predicting administrative costs within the relevant range         (3 marks)
1. c) Does the inclusion of an additional cost driver improve the model? Explain your answer      (5 marks)

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