Part $1($a$)$: Launch Strategy. 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 Kya! are expected to receive $180$K orders per month across Pianchi at an Average Order Varde $($AOV$)$ of INR $500($Assume equal distribution of the orders$/$revenue across circles$).$ Field research shows Hungry Kya! 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$)$ Cost Involved $($Monthly$)$ Avg. monthly cost incurred$/$kitchen INR $1,000,000$ Region Population Density $($per square mile$)$ Circle $1300$ Circle $2200$ Circle $3150$ Circle $475$ Circle $5250$ Circle $6100$ O Circle $1,$ Circle $2,$ Circle $5$ O Circle $2,$ Circle $3,$ Circle $5,$ Circle $6$ O Circle $1,$ Circle $2,$ Circle $3,$ Circle $5$ O Circle $3,$ Circle $4,$ Circle $6$