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10. Given the following information: Period Forecast Regular Time: $2 per unit (280 units per period maximum) 1 200 Overtime: $3 per unit (40 units per period maximum) 2 200 Subcontracting: None available 3 300 Beginning Inventory: None Carrying Cost: 4 -400 Si per unit per period Backorder Cost: $5 per unit per period Prepare the optimal Aggregate plan (with minimum total cost) for fixed four period's time horizon: Note that: The optimal plan has min values in the last period 4 for the Ending Inventory and zero for the Backlog. and min Grand Total Cost Formulas: Backlog (Backorders) - End. Inventory, when it is negative On-hand-Production: Forecast Overtime End.lexcators-OnhandtBee. Inv.-Previous Period Backlog Beginning InvwEnding Inv. from the previous period Average Inv-(Beginning Inv + Ending Inv.)/2 Production Schedule A: Level Strategy (fixed production at max level): Period Forecast Production Overtime On-hand Beg. Inv. End. Inv. Av. Inv. Backlog 200 280 2 200 3 300 280 4 400 280 Totals 1100 Cost: $ 2.00 $ 3.00 $ 1.00 $ 5.00 Back Period Regular Overtime Holding Orders Total 1 1 280 2 2 4 Totals 14 Production Schedule B: Demand Strategy (production follows demand, but no more than max level): Period Forecast Production Overtime On-Hand Be Inv. End. Inv. Av. In Backlog 1 200 2 3 300 4 400 200 O Focus End. Inv. Av. Inv. Backlog Production Schedule A: Level Strategy (fixed production at max level): Period Forecast Production Overtime On-hand Beg. Inv. 1 200 280 2 200 280 3 300 280 4 400 280 Totals 1100 Cost: $ 2.00 $ 3.00 $ 1.00 $ 5.00 Back Period Regular Overtime Holding Orders Total 1 2 3 4 Totals Production Schedule B: Demand Strategy (production follows demand, but no more than max level): Period Forecast Production Overtime On-Hand Bee. Inv. End. Inv. Av. Iny. Backlog 1 200 2 200 3 3.00 4 400 Totals 1100 $ 2.00 Cost: $ 3.00 5 1.00 $5.00 Back Orders Period Regular Overtime Holding Total 1 2 3 4 Totals