(Solved Homework): Call center capacity is estimated using exponential smoothing, with alpha=0.1. The forecast for January…

Call center capacity is estimated using exponential smoothing, with alpha=0.1. The forecast for January was 80% capacity, and actual usage was 83% capacity.

 

a. Forecast percent capacity for February. (Round your final answer to 2 decimal places.)

 

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  Forecast for February percent of capacity

 

b. Given that actual February usage was 86 percent, forecast percent capacity for March. (Round your answer to 2 decimal places.)

 

  Forecast for March percent of capacity

Expert Answer

Answer

F_{t}=F_{t-1}+alpha (A_{t-1}-F_{t-1})

Ft = new forecast

Ft-1 = previous period forecast

At-1 = Previous period actual demand

alpha = smoothing constant

a)

Forecast % for february = 80% + 0.1*(83%-80%) = 80% + 0.3% = 80.3%

b)

Forecast % for march = 80.3% + 0.1*(86-80.3%) = 80.87%

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