Question Two $(30$ pts$)$: Slopes & Sleds makes skis, snowboards, and high$-$end sledding equipment. As shown below, the demand for its products is highly seasonal. The company employs $10$ workers who can produce $200$ units of various equipment per month. The cost of regular production is $$8$ per unit, overtime $$12,$ and subcontracting $$16.$ Overtime is limited to regular production each period. Subcontracting is unlimited. Hiring and firing costs are $$500$ per worker. Inventory holding costs are $$2$ per unit per month. Given the estimates of demand below, create an aggregate production plan for Slopes & Sleds using

the current workforce level $($supplemented with overtime and subcontracting as needed$)$

chase demand

$\backslash$table$[[$Month$,$Demand$],[$January$,6400],[$February$,7000],[$March$,500],[$April$,600],[$May$,1400],[$June$,1600],[$July$,2000],[$August$,1400],[$September$,1500],[$October$,5200],[$November$,6900],[$December$,]]$