Part $2$ given the following information:

Regular Prod. Capacity $\backslash (=9,000\backslash )$ units$/$qtr

Regular Prod. Cost $=\backslash$$$11/$unit

Beginning work force $\backslash (=18\backslash )$ workers

Subcont Prod. Cost $=\backslash$$$24/$unit

Production rate$/$worker $\backslash (=500\backslash )$ units$/$qtr

Inventory Cost $=\backslash$$$4/$unit$/$qtr

Beginning Inventory $\backslash (=3,200\backslash )$ units

Hiring Cost $\backslash (\backslash$quad$=\backslash$$ $5,100/\backslash )$ worker

Firing Cost $\backslash (\backslash$quad$=\backslash$$ $8,400/\backslash )$ worker

Linear programming is to be used to determine a production plan strategy of Level Production,

Chase Demand, and Subcontracting. Regular Production is the only capacity limit$.$

$6.$ Formulate the Objective Function $($note which strategies to use$).$

$7.$ and $8.$ Formulate all Constraints $($standardized$).$

$9.$ How many constraints are in the model?

$10.$ If there were $12$ months of forecasts, instead of $3$ quarters, how many decision variables would be in the model?