A manager is attempting to put together an aggregate production plan for the coming nine months. She has obtained forecasts of aggregate demand for the planning horizon. The plan must deal with highly seasonal demand; demand is relatively high in months $3$ and $4,$ and again in month $8,$ as can be seen below:

$\backslash$table$[[$Month$,1,2,3,4,5,6,7,8,9,$Total$],[$Forecast$,190,230,260,280,210,170,160,260,180,1,940]]$

The company has $20$ permanent employees, each of whom can produce $10$ units of output per month at a cost of $$6$ per unit. Inventory holding cost is $$5$ per unit per month, and backorder cost is $$10$ per unit per month.

Develop the aggregate cost and compute its total cost. $($Do not leave any empry spaces; inpur a $"0"$ wherever it is required.

Negative answers should be indicated by a minus sign. Round the final answers to the nearest whole number.$)$