The Shady Farm Milk Company can process milk at a fixed rate of $5,600$ gallons per hour. The company$$s clients request $95,000$ gallons of milk over the course of one day. This demand is spread out uniformly from $8$ a$.$m$.$ to $6$ p$.$m$.$ The company starts producing at $8$ a$.$m$.$ and continues to work until all of the demand has been satisfied.

How long does an average unit of milk have to wait between its arrival at the dairy until it is processed?