1) For the following monthly demand forecast develop an aggregate plan when a) 38 units per day is produced and unmet demand is backordered. b) 38 units per day is produced and overtime is when needed. Month | Demand| Production Days Production End Capacity Inventory 1100 20 2 1500 22 3 1200 21 4 800 21 700 18 6 900 22 item cost Inventory carrying cost $ 5 per unit per month Subcontracting cost per unit $20 per unit Average pay rate $10 /hr ($80 per day) Overtime pay rate $17/hr (above 8 hrs/day) Labour-hours to produce a unit 1.6 hours per unit Cost of increasing daily production rate (hiring and training) $300 per unit Cost of decreasing daily production rate (layoffs) $600 per unit Backorder $10 per unit