Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying cost is $$2$ per engine per month. acklog cost is $$90$ per engine per month. There should not be a backlog in the last month. Assume that using overtime is not an ption. $($Negative amounts should be indicated by a minus sign. Leave no cells blank $-$ be certain to enter $"0"$ wherever required.$)$

$\backslash$table$[[$Period$,1,2,3,4,5,6,7,8,$Total$],[$Forecast$,120,135,140,120,125,125,140,135,1,040],[$Output$],[$Regula$,,,,,,,,,],[$Overtime$],[$Subcontract$],[$Output $-$ Forecast$],[$Inventory$],[$Beginning$],[$Ending$],[$Average$],[$Backlog$],[$Costs:$],[$Output$],[$Regular$],[$Overtime$],[$Subcontract$],[$Inventory$],[$Backorder$],[$Total$,,,,,,,,,]]$