I have to play a Beer Distribution Simulation game with 3 other team mates , can you tell me which role should I play to win the game moreover how could I minimise the total cost incurred . If

Inventory cost: Each item in stock costs $0.50 per unit in holding costs. Backorder cost: Each item in backorder costs $1.00 per unit.

The sheet given to us is this , can you provide me with the strategy if i play as factory how much should I produce based on the demand came from retailer or customer