Question 1- Value of information
Show all calculations to support your answers. You may follow the methods shown in the mp4 on Value of info for a way to answer this question if you wish.
A manufacturer is trying to choose between two production methods (a1 and a2) for a new product. He considers that the probability of demand for the new product being good (s1) is 0.4 and the probability that demand will be poor (s2) is 0.6.
In evaluating the two production methods the manufacturer has calculated the following table of conditional profits:
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s1
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s2
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a1
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$24,000
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$15,000
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a2
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-$4,000
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$40,000
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(a) Which production method should be used? Show calculations.
The manufacturer asks a marketing consult for an opinion as to whether demand will be good or poor. From previous experience when the consultant has indicated that demand will be good she has been right 80% of the time, and when she has indicated that demand will be poor she has been right 70% of the time.
(b) Revise the prior probabilities in light of the consultant's track record.
(c) What is the posterior probability of good demand given that the consultant has indicated demand will be good?
(d) What is the expected net gain or loss from engaging the consultant? Should the consultant be engaged? Why?
Question 2 - Simulation
This is a work integrated assessment item. The tasks are similar to what would be carried out in the workplace.
A factory has a toolshop in which one person serves toolmakers and is paid $75 per hour. Toolmakers employed by the factory must go to the toolshop for new tools, and are paid $100 per hour. Over a period of time it has been noted that the time between arrivals of toolmakers at the toolshop and the time to serve a toolmaker are as follow:
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Time between Arrivals (minutes)
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Relative Frequency
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3
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0.01
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4
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0.15
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5
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0.20
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6
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0.20
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7
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0.35
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8
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0.09
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1.00
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Service Time (minutes)
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Relative Frequency
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5
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0.1
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6
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0.2
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7
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0.4
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8
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0.2
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9
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0.1
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1.0
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(a) Using Excel set up a simulation model to simulate about 2 hours (120 minutes) from time zero, and determine whether one attendant is sufficient or whether it is profitable to place a second attendant in the toolshop.
(b) Provide the costs over the 2 hours for the toolmakers' lost time and for the attendant's wages.
Show the data and the model in two printouts: (1) the results, and (2) the formulas. Both printouts must show row and column numbers and be copied from Excel into Word. See Spreadsheet Advice in Interact Resources for guidance.
(c) Your manager has suggested that a reorganisation of the toolshop could reduce the time taken to serve the toolmakers by 2 minutes, ranging from 3 to 7 minutes per toolmaker (but with the same relative frequencies as in parts (a) and (b)). Change the data for service times in your model (copy the model to make the changes, keeping the original model intact). Write a report to your manager explaining your conclusions, suggesting how much might be spent on the reorganisation and still be as well off.
The report must be dated, addressed to the Manager and signed off by you.
Question 3- Regression Analysis and Cost Estimation
Charles Hospital has recorded the following Administrative Costs and two possible cost drivers over the last year.
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Administrative Costs ($)
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Patient Load (Number)
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Emergency Procedures (Number)
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13,900
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1,400
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10
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7,000
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500
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11
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6,000
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400
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5
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10,000
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1,000
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10
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11,900
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1,300
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12
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9,200
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900
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14
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10,200
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1,100
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8
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4,100
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300
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7
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9,400
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700
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12
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11,100
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1,200
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12
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8,300
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600
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8
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16,100
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1,500
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16
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(a) Using the High-Low method of cost estimation and Patient Load as the cost driver, what would be the resulting cost equation for Administrative Costs?
(b) If the simple regression using Patient Load were adopted, what would be the predicted overhead in a month when there were 1,000 Patients and 10 Emergency Procedures?
Question 4 - CVP Analysis
A bicycle manufacturer makes two types of 21-speed bicycles, Road Bikes and Track Bikes. He has sales staff who sell the bikes on commission. The following data are available:
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Product Sales Price Variable Production Cost Sales Commission
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Road bikes $500 $275 $25
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Track bikes $300 $125 $15
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Fixed costs per annum are $65,000.
Required:
(a) Calculate the unit contribution margin for each product.
(b) This year the manufacturer will specialise in making only Road bikes. How many does he need to sell to break even?
(c) If Road bikes are still the only product what is the breakeven sales volume for the year in sales dollars?
(d) He now decides to manufacture both bikes this year in the ratio of 3 track bikes to 1 road bike.
(i) How many of each bike must be sold to earn a profit of $88,000 before tax for the year?
(ii) How many of each bike must be sold to earn a profit of $105,000 after tax (of 30c in the dollar) for the year?