$9\mathrm{.}9.$ Given the following data, calculate a level production plan, quarterly ending inventory, and average quarterly inventory. If inventory carrying costs are $$3$ per unit per quarter, what is the annual carrying cost? Opening and ending inventories are zero.

$\backslash$table$[[,$Quarter $1,$Quarter $2,$Quarter $3,$Quarter $4,$Totals$],[$Forecast Demand,$3000,4000,6500,6500,],[$Production$,,,,,],[$Ending Inventory,,,,,$],[$Average Inventory,,,,,$],[$Inventory Cost,,,,,$]]$