Final answer:
To calculate the forecast for today's sales of widgets using exponential smoothing, use the formula: Forecast for today = (Smoothing constant x Actual sales yesterday) + ((1 - Smoothing constant) x Forecasted sales yesterday). Substitute the given values into the formula: Actual sales yesterday = 2,000 units; Forecasted sales yesterday = 1,900 units; Smoothing constant = 0.6. The forecast for today's sales of widgets is 1,960 units.
Step-by-step explanation:
To calculate the forecast for today's sales of widgets using exponential smoothing, we use the formula:
Forecast for today = (Smoothing constant x Actual sales yesterday) + ((1 - Smoothing constant) x Forecasted sales yesterday)
Plug in the given information:
Actual sales yesterday = 2,000 units
Forecasted sales yesterday = 1,900 units
Smoothing constant = 0.6
Now substitute the values into the formula:
Forecast for today = (0.6 x 2,000) + ((1 - 0.6) x 1,900) = 1,200 + (0.4 x 1,900) = 1,200 + 760 = 1,960 units
Therefore, the forecast for today's sales of widgets is 1,960 units.