$\backslash$table$[[$January$,1,400,$May,$2,200],[$February$,1,600,$June,$2,200],[$March$,1,800,$July,$1,800],[$April$,1,800,$August,$1,400]]$

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 $$100$ per unit. Inventory holding cost is $$20$ per unit per month. Ignore any idle$-$time costs. The plan is called plan C$.$

Plan C: Keep a stable workforce by maintaining a constant production rate equal to the average gross requirements excluding initial inventory and allow varying inventory levels.

Conduct your analysis for January through August.

The average monthly demand requirement $=$ units. $($Enter your response as a whole number.$)$

In order to arrive at the costs, first compute the ending inventory and stockout units for each month by filling in the table below $($enter your responses as whole numbers$).$

$\backslash$table$[[$Period$,$Month,Demand,Production,$\backslash$table$[[$Ending$],[$Inventory$]],$Stockouts $($Units$)],[0,$December,,,,$],[1,$January,$1,400,1,775,,],[2,$February,$1,600,1,775,,],[3,$March,$1,800,1,775,,],[4,$April,$1,800,1,775,,],[5,$May,$2,200,1,775,-,],[6,$June,$2,200,1,775,,],[7,$July,$1,800,1,775,,],[8,$August,$1,400,1,775,,]]$

The total stockout cost $=$$ $($Enter your response as a whole number.$)$

The total inventory carrying cost $($Enter your response as a whole number.$)$

The total cost, excluding normal time labor costs, is $=$ $ $($Enter your response as a whole number.$)$