To protect and power their car, a customer asks you to build a car port covered

with solar roof. The four solar panels used to charge the vehicle each produce $255$ Watts of

power. Due to the location of the customer$$s house, the panels will be fully exposed to sunlight

for ideally $5$ hours a day. The customer$$s Tesla Model $3$ has a $270$ MJ battery. On a full charge,

the car can traverse exactly $300$ miles, which is more than adequate for their roundtrip $18\mathrm{.}5$ mile

commute each day. The excess energy produced by the solar roof will be sent to the grid.

$($i$)$ Calculate total amount of energy produced by the solar roof in a day in units of kW$*$hr$.$

$($ii$)$ Calculate the energy per mile consumed by the Tesla Model $3$ in units of kW$*$hr$/$mile$.$

$($iii$))$ If the car is only used for commuting, calculate the energy used by the car each day in units

of kW$*$hr$.$

$($iv$)$ How much energy will be returned to the grid over the course of a year in units of kW$*$hr$?$