Final answer:
The forecasted demand for the week of October 12, using a 4-week weighted moving average with given weights and hypothetical weekly demands, is calculated to be 138 units.
Step-by-step explanation:
To forecast demand for the week of October 12 using a 4-week weighted moving average, we need the demand values of the previous four weeks. However, since these values are not provided, let's assume we have the following hypothetical weekly demands: Week 1 - 100 units, Week 2 - 120 units, Week 3 - 130 units, and Week 4 - 150 units.
The weights given are 0.1 for the first and second weeks, 0.2 for the third week, and 0.6 for the fourth, most recent week. The weighted moving average (WMA) is calculated as follows:
- Week 1 demand (100 units) × 0.1 weight = 10
- Week 2 demand (120 units) × 0.1 weight = 12
- Week 3 demand (130 units) × 0.2 weight = 26
- Week 4 demand (150 units) × 0.6 weight = 90
Adding these together gives us the weighted sum: 10 + 12 + 26 + 90 = 138.
Therefore, the forecasted demand for the week of October 12 is 138 units.