$\backslash$table$[[,$Count,$\backslash$table$[[$Active$],[$Customers$]],\backslash$table$[[$Cold$],[$Customers$]],\backslash$table$[[$Lost$],[$Customers$]]],[$Active Customers,$100,0\mathrm{.}60,0\mathrm{.}40,0\mathrm{.}00],[$Cold Customers,$200,0\mathrm{.}10,0\mathrm{.}30,0\mathrm{.}60],[$Lost Customers,$0,0\mathrm{.}00,0\mathrm{.}00,1\mathrm{.}00]]$

a$.$ Of the current overall customer base, how many will be "Active Customers" at period $N+1?($MC$)$

b$.$ What is the overall churn rate for the company at period $N+1?($MC$)$

c$.$ Of the current overall customer base, what will be churn rate at period $N+2?$