The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next $8$ months as follows:

$\backslash$table$[[$January$,1,450,$May,$2,100],[$February$,1,700,$June,$2,300],[$March$,1,700,$July,$1,900],[$April$,1,700,$August,$1,300]]$

Her operations manager is considering a new plan, which begins in January with $200$ units of inventory on hand. Stockout cost of lost sales is $$65$ per unit. Inventory holding cost is $$25$ per unit per month. Ignore any idle$-$time costs. Evaluate the following plan.

This exercise contains only Plan $E.$

Plan E: Keep the current workforce, which is producing $1,600$ units per month, and subcontract to meet the rest of the demand. Subcontract cost is $$75$ per unit.

$\backslash$table$[[$Month$,$Demand,Plan E$],[\backslash$table$[[$Production$],[($Units$)]],$Subcontract $($Units$),\backslash$table$[[$Ending$],[$Inventory$]]],[\backslash$table$[[0$ December$],[1$ January$]],1,450,1,600,,200],[2$ February,$1,700,1,600,,],[3$ March,$1,700,1,600,,],[4$ April,$1,700,1,600,,],[5$ May,$2,100,1,600,,],[6$ June,$2,300,1,600,,$