Explanation:
To compute the monthly sales forecast using a 4-month moving average with the given weights, we can follow these steps:
1. Determine the weights for each of the four months. Based on the provided weights (25%, 20%, 15%, 12%), we can assign the following weights to the respective months in reverse order:
Month 1: 12%
Month 2: 15%
Month 3: 20%
Month 4: 25%
2. Calculate the forecast for each month by multiplying the demand for the corresponding month by the assigned weight and summing them up.
For Month 5:
Forecast = (Demand for Month 5 * Weight for Month 1) + (Demand for Month 4 * Weight for Month 2) + (Demand for Month 3 * Weight for Month 3) + (Demand for Month 2 * Weight for Month 4)
Forecast = (41 * 0.12) + (40 * 0.15) + (33 * 0.20) + (29 * 0.25)
Forecast = 4.92 + 6 + 6.6 + 7.25
Forecast ≈ 24.77
Similarly, you can calculate the forecasts for the remaining months using the same approach.
Month 6:
Forecast = (43 * 0.12) + (41 * 0.15) + (40 * 0.20) + (33 * 0.25)
Month 7:
Forecast = (49 * 0.12) + (43 * 0.15) + (41 * 0.20) + (40 * 0.25)
Month 8:
Forecast = (52 * 0.12) + (49 * 0.15) + (43 * 0.20) + (41 * 0.25)
By performing these calculations, you can determine the monthly sales forecasts for each of the remaining months based on the given demand and weights.