Case Study 1: The AusCandy Demand
The following table shows the historical demand data for products A and B in AusCandy Co. Answer the following questions.
Period |
Actual demand product A |
Actual demand product B |
1 |
943 |
55 |
2 |
627 |
72 |
3 |
657 |
63 |
4 |
744 |
71 |
5 |
904 |
43 |
6 |
613 |
69 |
7 |
955 |
46 |
8 |
642 |
43 |
9 |
598 |
79 |
10 |
911 |
59 |
11 |
711 |
64 |
12 |
645 |
75 |
13 |
747 |
57 |
14 |
722 |
49 |
15 |
721 |
62 |
16 |
620 |
75 |
17 |
910 |
57 |
18 |
|
66 |
19 |
|
75 |
20 |
|
47 |
21 |
|
47 |
22 |
|
49 |
23 |
|
58 |
24 |
|
58 |
25 |
|
39 |
26 |
|
73 |
27 |
|
78 |
28 |
|
63 |
29 |
|
37 |
30 |
|
38 |
31 |
|
86 |
- Using the exponential smoothing method to forecast the demand for product A determine the best value for alpha? (2.5 marks)
- Show the actual and forecast demand for product A for all possible periods based on the answer in part 1. What is the best forecast for period 18? (2.5 marks)
- Using the moving average method to forecast the demand for product B determine the best value for n? (2.5 marks)
- Show the actual and forecast demand for product B for all possible periods based the answer in part 3. What is the best forecast for period 32? (2.5 marks)
Hint: Use MAD and MSE for error calculations
Important note:
- Use MAD and MSE for error calculations
- A brief explanation is required for each question.
Case Study 2: UFE Clubs Case Study
UFE Clubs produces ball bearings. The diameter of the ball bearings is very important for quality purposes. The following tables show the diameters of 4 randomly selected samples. Each sample contains five observations.
|
Observations |
|
Sample |
|
1 |
2 |
|
3 |
|
4 |
5 |
1 |
|
0.456 |
0.97 |
|
0.353 |
|
0.065 |
0.453 |
|
|
|
|
|
|
|
|
|
2 |
|
0.319 |
0.008 |
|
0.705 |
|
0.538 |
0.544 |
|
|
|
|
|
|
|
|
|
3 |
|
0.607 |
0.049 |
|
0.652 |
|
0.962 |
0.766 |
4 |
|
0.244 |
0.023 |
|
0.068 |
|
0.476 |
0.454 |
|
|
|
|
|
|
|
|
|
|
1. Is the production process of the ball bearings are under control both in terms of central tendency and dispersion. Show all calculations and control charts.
2. A customer for ball bearings places an order with a diameter of 0.450 +/- 0.1. What is the Process Capability Index? The Process Capability Ratio? Is the process capable?
3. If the firm is seeking two-sigma performance, is the process capable of producing the ball bearings?
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