Part $1($a$)$: Launch Strategy

Background: Hungry Kya! plans to launch the new doud kitchen service in the eastern metropolitan Pianchi first. Pianchi is divided into $6$ circles, each with roughly equal population size. The doud kitchen outlets of Hungry Kya! 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 Kyol will have to setup $5$ kitchens in Circle $1$ to support the demand $($Assume each kitchen to provide service coverage to an equal amount of area irrespective of circle$/$density$)$

$\backslash$table$[[$Cost Involved $($Hionthly$)],[$Aug$.$ morthy cost incurred$/$ kichen,INR $1,000,000],[$Region$,$Popuiation Density $($per square milo$)],[$Croce $1,300],[$Crase $2,200],[$cricle $3$ Cras $4,150],[$Circle $4,75],[$Crice $5,250],[$Crace $6,100]]$

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$)$