In: Operations Management
Q3. After graduating from college, Rachel and Payton start selling birdhouses made from recycled plastic. The idea has caught on, as shown by the following sales figures:
| 
 Month  | 
 Demand  | 
| 
 March  | 
 2200  | 
| 
 April  | 
 2240  | 
| 
 May  | 
 1790  | 
| 
 June  | 
 4270  | 
| 
 July  | 
 3530  | 
| 
 August  | 
 4990  | 
a. (3pts). Develop a forecast model for June through September by using an adjusted exponential smoothing model with α=0.5 and β=0.3. Assume that the unadjusted forecast (Ft) for May was 2,000 and the trend factor (Tt) for May was 700.
| 
 Month  | 
 Unadjusted exponential smoothing model  | 
 Trend factor (Tt)  | 
 Adjusted exponential smoothing model  | 
| 
 March  | 
|||
| 
 April  | 
|||
| 
 May  | 
 2000  | 
 700  | 
|
| 
 June  | 
|||
| 
 July  | 
|||
| 
 August  | 
|||
| 
 September  | 
B (3 pts). Calculate the tracking signals for periods June through August.
| 
 Actual demand  | 
 Adjusted exponential smoothing model  | 
 Forecast error  | 
 Absolute deviation  | 
 i=1nFEi  | 
 MAD  | 
 Tracking signal  | 
|
| 
 June  | 
 4270  | 
||||||
| 
 July  | 
 3530  | 
||||||
| 
 August  | 
 4990  | 
Please refer image 1 for answer A:

Please refer image 2 for answer B:

The MAD for period June through August is 884.51
The Tracking Signal for period June through August is 1.209