Problem 1 (30 points) The response below was obtained when the flow of cooling water was increased from 100 to 130 gallons per minute (GPM) A. Estimate a process transfer function for the system and include the units of the gain. 150 Temperature (F) 145 140 135 130 125 120 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 Time (s) B. After the process has settled from the below response, the cooling flow is to be suddenly decreased without exceeding a temperature of 170 F. What is the maximum allowable change in cooling water flow? C. Simulate and plot the response in part B if the cooling water flow is decreased to a point where the maximum temperature during the response is 170 F. D. If the magnitude of the gain of the process was actually 20% larger what would the final temperature and maximum values be in part C? Calculate your answer mathematically and show your work