Consider the following simple exponential smoothing problem below whereby the initialization forecast for Period 2 forecast is simply the actual observation of period 1. Determine the alpha used and then enter the forecast for period 12 to two decimal places.

Period	Actual	Forecast	Error
1	42	#N/A
2	40	42	-2
3	43	41.8	1.2
4	40	41.92	-1.92
5	41	41.728	-0.728
6	39	41.6552	-2.6552
7	46	41.38968	4.61032
8	44	41.85071	2.149288
9	45	42.06564	2.934359
10	38	42.35908	-4.35908
11	35
12		?????

2- Consider the time series data of actual sales and forecasts for a given product:

time	Actual	Forecast
1	217	215
2	213	216
3	216	215
4	210	214
5	213	211
6	219	214
7	216	217
8	212	216
9	232	235

What is the MSE between actual and forecast?

3- Consider the following workstations that have been assigned several tasks each based on a precedence diagram. The total demand for the facilities is 190 with 10 available hours in a workday.

Workstation	Tasks assigned	Idle time (min.) on Workstation
1	1, 2, 4,6	1.5
2	3, 5, 7, 10	1.1
3	8, 9, 11, 14	1.4
4	12, 13, 15, 17	1

What is the balance delay for the facilities as a real number from 1 to 100 to two decimal places?