The fast food restaurant wishes the special container to hold coffee. Restaurant wants container to quickly cool coffee from 200 degrees to 130 degrees Fahrenheit and keep liquid between 110 degrees and 130 degrees as long as possible. Restaurant has 3 containers to select from. 1. Centikeeper Company has the container which decreases temperature of liquid from 200 degrees to 100 degrees in 30 minutes by maintaining the constant temperature of 70 degrees. 2. TempControl Company has the container which decreases temperature of the liquid from 200 degrees to 110 degrees in 25 minutes by maintaining the constant temperature of 60 degrees. 3. Hot'N'Cold Company has the container which decreases temperature of liquid from 200 degrees to 120 degrees in 20 minutes by maintaining the constant temperature of 65 degrees. a) Utilize Newton's Law of Cooling to determine the model relating temperature of liquid over time for watch container. b) How long it takes each container to lower coffee temperature from 200 degrees to 130 degrees c) How long will coffee temperature remain between 110 degrees and 130 degrees? Temperature is considered optimal drinking temperature. e) Which company would you suggest to restaurant? Why?