You are playing the "Root Beer Game" simulation with the above supply chain. Let$$s assume that all members of the supply chain have $110,000$ cases of root beer in their inventory. Members of the chain are allowed to ship partial orders while they wait for the remainder of the order to arrive from upstream in the chain. A Customer walks into the Retailer and orders $710,000$ cases of root beer. How many weeks will it take for the Customer to receive their entire order of root beer according to the following specifications?

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

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

Factory Production Delay $2$ week$($s$)$

Please answer using just a number like $"17"$ instead of $"17$ weeks".