A manufacturing firm uses a level utilization production$-$planning horizon of three months. They have developed a forecast for the coming three months that appears in the table. They can add no more than $5\%$ of their production capacity as overtime and can order no more than $10\%$ of a month's regular capacity via subcontractors. The company has a zero backorder policy but has space for a maximum of $250$ items in their finished$-$goods inventory. All extra costs are shown in the table.

$\backslash$table$[[,$October,November,December$],[$Forecasted Demand,$2,100,1,900,2,350],[$Regular Capacity,$2,000,2,000,2,000],[$Workforce level,,,$],[$Overtime $($$$50/$unit$),,,],[$Subcontracting $($$$120/$unit$),,,],[$Inventory holding $($$$15/$unit$),,,],[,,,],[$Total Cost,,,$]]$

Use the information in Table above. What is the total cost $($overtime$,$ subcontracting and inventory holding costs$)$ for the month of October corresponding to the least cost production plan? $($Note: Mixed strategy is not considered here$)$

A$)$ $$4,000$

B$)$ $$5,000$

C$)$ $$6,000$

D$)$ $$7,500$