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Part 1 (6 pts): Consider the data below for a supply chain in Beer game. Week Customer Retailer Retailer Wholesaler Wholesaler Distributor Distributor Orders Inventory Orders Inventory Orders Inventory Orders 3 50,000 150,000 50,000 150,000 75,000 150,000 75,000 100,000 100,000 150,000 150,000 50,000 150,000 75,000 5 100,000 50,000 150,000 150,000 75,000 125,000 100,000 6 100,000 150,000 30,000 100,000 125,000 75,000 100,000 -50,000 200,000 -25,000 125,000 125,000 50,000 100,000 0 150,000 -125,000 175,000 100,000 75,000 9 100,000 25,000 150,000 -250,000 250,000 75,000 200,000 Explain how we get retailer inventories of -50,000, 0, and 25,000 in periods 7, 8, and 9, respectively. Show all calculations using other numbers in the table. a) Retailer inventory of -50,000 in Period 7: b) Retailer inventory of 0 in Period 8: c) Retailer inventory of 25,000 in Period 9