Background: Hungry Kya! plans to launch the new cloud kitchen service in the eastern metropolitan Pianchi first. Pianchi is divided into $6$ circles, each with roughly equal population size. The cloud kitchen outlets of Hungry Kyal are expected to receive $180$ K orders per month across Pianchi at an Average Order Value $($AOV$)$ of INR $500($Assume equal distribution of the orders$/$revenue across circles$).$ Field research shows Hungry Kyal will have to setup $5$ kitchens in Circle $1$ to support the demand $($Assume each kitchen to provide service coverage to a equai amount of area irrespective of circle$/$density$)$

Question $1\mathrm{.}1$: Which of the following regions are profitable for Hungry Kyal to launch its services? $($Profit for each circle is defined as the difference in revenue generated from orders and running costs incurred for kitchens in the circle$)$