(Solved): Elon Musk knocks on your door and offers to give you either a 1 kW solar panel (assume all voltage ...

Elon Musk knocks on your door and offers to give you either a 1 kW solar panel (assume all voltage and current requirements are already met) or a 10 kWh residential energy-storage rechargeable battery for free. Say if you live in an area that has a duo electricity pricing of 50 cents per kWh during peak hour (2pm-8pm) and 10 cents per kWh rest of the time, and sun rise is 7am and sets at 5pm, which gift would you pick strictly for purely economic reason (which one will save you more money)? Explain your reasons by showing calculations.