Q$3.$

During the past covid $19$ pandemic in $2022,$ the following is the table on the demand for ICU beds per month in a hospital.

$\backslash$table$[[$Month$,$Demand for ICU beds$],[,200],[2,250],[3,220],[4,230],[5,225]]$

Compute the forecast for ICU beds in month $6$ using latest $3$ months moving average from the table.

What is the forecast for ICU beds in month $7$ IF the month $6$ actual demand for ICU beds is $227$ using the latest $3$ month moving average?

Compute the forecast for ICU beds in month $6$ using the latest $3$ months weighted average using Weight Factors of $50\%,25\%$ and $25\%$ for months $3,4$ and $5$ respectively?

Compute the forecast demand for ICU beds in month $6$ using exponential smoothing equation.

Assume the smoothing constant is $0\mathrm{.}15.$