The Shady Farm Milk Company can process milk at a fixed rate of $6,500$ gallons$/$hour$.$ The company$$s clients request $103,000$ gallons of milk over the course of one day. This demand is spread out uniformly from $8$ a$.$m$.-6$ p$.$m$.$ The company starts producing at $8$ a$.$m$.$ and continues to work until all of the demand has been satisfied