$($A$)$ A heat pump is to be used to heat a house during the winter in Canada. The house is to be maintained at $21C$ at all times. The house is estimated to be losing heat at a rate of $135,000k\frac{J}{h}$ when the outside temperature drops to $-5C.$ Determine the minimum power required to drive this heat pump.

$($B$)$ Re$-$solve the problem for a house in Saudi Arabia. Consider outside temperature is $15C$ and heat loss is $50,000k\frac{J}{h}$

$($C$)$ As an Electrical Engineer, would you suggest your client to use an electric resistance heater in Saudi Arabia instead of a heat pump? It is known that the electric energy is converted to heat at a one$-$toone ratio in a resistance heater.

$*$show me all the steps with details$*$