The Shady Farm Milk Company can process milk at a fixed rate of $7500$ gal$/$hr$.$ The company$$s clients request $100,000$ gallons of milk over the course of $1$ 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. At noon, how many gallons of milk are in the queue to be processed? $($Round to the nearest whole number.$)$