$1(25$ points$).$ ABCC$0.$ is to plan its workforce and productore $1160,960,1150,1380$ units. Ending inventory of demands for the next $4$ quarters are $1160,96,$ and the ABC would like to have a minimum of $50$ last year is expected to be $60,$ and the ABr. The cost of holding one unit in inventory for one quarter is $$190.$

There are currently $200$ workers. The cost of hiring one work firing one worker is $$1500.$

In the past, the plant manager observed that over $60$ units. level constant at $200$ workers, ABC produced $12$ next $4$ quarters are respectively $61,62,$ for next year.

The number of work plans to adopt a level strategy $($constat

pts$)$ Determine the level of workforce for next year such that all quarterly

$($a$)(10pts)$ Determine the leve ABC need to hire at the beginning of next year?

$($A$)$ Hire $9$ workers

$($B$)$ Hire $2$ workers

$($C$)$ Fire $6$ workers

$($D$)$ Fire $11$ workers

$($b$)(1,05)$ Find the inventory level at the end of next year.

$($a$)52$

$($a$)55$

$($C$)5?$

$(13)64$

$(9)(8)$ pos$)$ Compute the toral cost $($including hiring$/$firing cost and inventory cost$)$ under the contuant worktiorce plan for next year.

$($A$)8142600$

$($i$3)$ $$153350$

$($C$)8164420$

$($D$)$ $$175500$

$2(25$ points$)$ Sime as Problem $1,$ except $1)60,1260,1150\mathrm{.}980$ units.

$($a$)(15$ pts$)$ Determine the level of

$($A$)185$ workets

$($B$)189$ workers

$($C$)192$ workers

$($D$)195$ workers