Use the following problem statement to answer questions $6-7.$

Demands for a newly developed salad bar at the SFC restaurant for the first $f$ this year are shown in the table below. Round to three decimal places.

$[$Note: Simple moving average method: Weighted moving average method: $Ft+1=W1D1+W2D2+$dots$+WnDt-n+1$ Exponential smoothing method: $Ft+1=Ft+a(Dt-Ft)$

Month

Demand

January $63$

February $65$

March $50$

April $,72$

What is the forecast for Aprill using the exponential smoothing method witl Round to three decimal places.

$58\mathrm{.}622$

$58\mathrm{.}496$

$58\mathrm{.}218$

$58\mathrm{.}400$

$54\mathrm{.}800$

$54\mathrm{.}794$What is the forecast for May using the exponential smoothing method with aly Rourid to three decimall places.

$63\mathrm{.}411$

$63\mathrm{.}898$

$63\mathrm{.}840$

$62196$

$62\mathrm{.}887$

$62\mathrm{.}760$