Consider $3$ engines that each use $1650$ J of heat from a hot reservoir $($temperature $=550$ K$).$ These $3$ engines reject heat to a cold reservoir $($temperature $330$ K$)$ Engine $1$ rejects $1170$ J of heat. Engine $2$ rejects $990$ J of heat. Engine $3$ rejects $499$ J of heat. One of the engines operates reversibly, and two operate irreversibly. However, of the two irreversible engines, one violates the second law of thermodynamics and could not exist. What is the total entropy change of the universe for $($a$)$ engine $1,($b$)$ engine $2,$ and $($c$)$ engine $3?($Note: The total entropy change of the universe if the sum of the entropy changes of the hot and cold reservoirs.$)$