The hospital's administration is considering the following forecasting methods. Begin error measurement in year $3$ so all methods are compared for the same years.

a$.$ Exponential smoothing, with $=0\mathrm{.}6.$ Let the initial forecast for year $1$ be $45,$ the same as the actual demand.

b$.$ Exponential smoothing, with $=0\mathrm{.}9.$ Let the initial forecast for year $1$ be $45,$ the same as the actual demand.

d$.$ Two$-$year moving average.

e$.$ Two$-$year weighted moving average, using weights $0\mathrm{.}6$ and $0\mathrm{.}4,$ with more recent data given more weight.

f$.$ If MAD is the performance criterion chosen by the administration, which forecasting method should it choose?

g$.$ If MSE is the performance criterion chosen by the administration, which forecasting method should it choose?

h$.$ If MAPE is the performance criterion chosen by the administration, which forecasting method should it choose?