$\backslash$table$[[$Month#Forecast#$,],[$Jan$,1800],[$Feb$,1500],[$Mar$,1100],[$Apr$,1500],[$May$,2100],[$June$,1600]]$

$\backslash$table$[[$Name$,$Value$],[$Labor hours per unit $($hr$/$unit$),5],[$Initial number of workers,$30],[$Safety Stock $($units$),0],[$Working houks in a day$($hr$/$day$),7],[$Beginning inventory$($units$),200]]$

$\backslash$table$[[$Month# Working Days available,$],[$Jan$,22],[$Feb$,22],[$Mar$,22],[$Apr$,22],[$May$,22],[$June$,19]]$

The tables present forecasts, production, and cost information for aggregate planning. Using a level strategy with backorders to produce at average demand, how many workers are required each month? $($Round up the calculated number of workers to the nearest whole number, and round the production rate to the nearest whole number.$)$