$"$A $2\mathrm{.}4-$m high $200-$m$^2$ house is maintained at $21$ C by an air$-$conditioning system whose COP is $3\mathrm{.}2.$ It is estimated that the kitchen, bath, and other ventilating fans of the house discharge a houseful of conditioned air once every hour. If the average outdoor temperature is $34$ C$,$ the density of air is $1\mathrm{.}20$ kg$/$m$^3,$ and the unit cost of electricity is $$0\mathrm{.}10/$kWh$,$ the amount of money $($in dollar without $ sign, using Cp$=1\mathrm{.}005$ kJ$/$kg$.$K$)$ vented out by the fans in $10$ hours is $?"$