A gas reservoir has the following properties:

$\backslash$table$[[p,,z,G_p,$ MMMscf$],[4400,0\mathrm{.}9565,0],[3000,0\mathrm{.}8108,1],[2000,0\mathrm{.}7143,2],[1500,0\mathrm{.}7500,2\mathrm{.}33]]$

$=12\%,$ water saturation is $30\%,$ reservoir temperature is $180F,$ and reservoir thickness is $15ft,B_{gi}=0\mathrm{.}0066f\frac{t^3}{s}cf.$

a$.$ What is the cumulative gas production at $500$ if $z$ at $500$ is $0\mathrm{.}655?$

b$.$ What is the initial gas in place?

c$.$ What is the reservoir drainage area in $f{t}^3?$