Sonia works in a large building in Phoenix, Arizona where it commonly gets above

in the summertime. Sonia doesn't have control over the building's cooling system which is controlled centrally and operates as a heat pump with coefficient of performance

$.$

On a particular day in August, the temperature outside is

all day, but the temperature inside the building is

because the building operators have been running the air conditioning system. At one point, the air conditioning system is shut off temporarily due to maintenance, and the building begins to heat up at a rate of

$,$ so if the building is to be kept at a constant

$,$ this requires removing thermal energy from its interior at that same rate of

$.$

What is the rate $($in

$)$ at which energy is consumed by the air conditioning system when it is keeping the internal air temperature fixed at

$?$