Please answer 456 thx

Problem 5. (22 points) The Cleveland Milk Company produces milk at a constant rate of 5,000 gallons/hour. The company's clients request 100,000 gallons of milk over the course of one day. This demand is spread out uniformly from 8 A.M. to 6 P.M. If there is no milk available, clients will wait until enough is produced to satisfy their requests. The company starts production at 8 A.M. with 25,000 gallons of milk in stock. At the end of the day, after all demand has been fulfilled, the plant keeps on producing until its milk inventory has been restored to 25,000 gallons. Answer the following questions. Show your work to receive full credits. 1. (4 points) At what time during the day will the clients have to start waiting for their requests to be filled? 2. (4 points) At what time will clients stop waiting? 3. (4 points) Assume that the milk is picked up in trucks that hold 1,250 gallons each. What is the maximum number of trucks that are waiting? 4. (4 points) How long does a truck that arrives at 2 P.M. have to wait? 5. (3 points) What is the average waiting time of a truck? 6. (3 points) At what time does the company stop production