You are playing the "Root Beer Game" simulation with the above supply chain. Let$$s assume that all members of the supply chain have zero cases of root beer in their inventory. A Customer walks into the Retailer and orders $310,000$ cases of root beer. How many weeks will it take for the Customer to receive their root beer according to the following specifications?

Order Processing Delay $2$ week$($s$)$

Shipping Delay $3$ week$($s$)$

Factory Production Delay $3$ week$($s$)$