ABC manufacturing Inc is preparing an aggregate planning for next three months, considering the following: Beginning Inventory = 0 Beginning workforce = 5 Production per worker =30 units/month Inventory carrying cost = $10 per unit per month Regular production cost = $100 per unit Overtime production cost = $120 per unit Backordering cost = $60 per unit per month Maximum limit for overtime production = 20 units per month Maximum limit for backorder quantity = 30 units per month Monthly demand for next three months of planning horizon are: 160, 160 and 180 units What is the optimum cost of production planning if all demand must be satisfied within the planning horizon? a. $50400 b. $51000 c. $49900 d. None of these answer choices e. $50300 ABC manufacturing Inc is preparing an aggregate planning for next three months, considering the following: Beginning Inventory = 0 Beginning workforce = 5 Production per worker =30 units/month Inventory carrying cost = $10 per unit per month Regular production cost = $100 per unit Overtime production cost = $120 per unit Backordering cost = $60 per unit per month Maximum limit for overtime production = 20 units per month Maximum limit for backorder quantity = 30 units per month Monthly demand for next three months of planning horizon are: 160, 160 and 180 units What is the optimum cost of production planning if all demand must be satisfied within the planning horizon? a. $50400 b. $51000 c. $49900 d. None of these answer choices e. $50300