$2(25$ points$).$ Same as problem $1,$ except that the forecast demands for the next $4$ quarters are $1160,1260,1150,980$ units.

$($a$)(15$ pts$)$ Deternine the level of workforce for next year such that all quarterly demands will be met $($no backlogging$).$

$($A$)185$ workers

$($B$)189$ workers

$($C$)192$ workers

$($D$)195$ workers

$($b$)(5pts)$ Find the inventory level at the end of next year.

$($A$)59$

$($B$)61$

$($C$)266$

$($D$)406$

$($c$)(5pts)$ Compute the total cost $($including hiring$/$firing cost and inventory cost$)$ under the constant workforce plan for next year.

$($A$)$ $$89060$

$($B$)$ $$103350$

$($C$)$ $$124420$

$($D$)$ $$145500$