two carnot air conditioners, A and B$,$ are removing heat form different rooms. The outside temperature is the same for both rooms, $310$ K$.$ the room serviced by A is kept at a temperature of $292$ K$,$ while the room serviced by unit B is kept at $305$ K$.$ the heat removed from either room is $4480$ J$.$ for both units, find $($a$),($b$)$ the magniture of the work required and $($c$),($d$)$ the magnitude of the heat deposited outside for A and B conditioners respectively.