$(20$ points$)$

$3.$ Following completion, a ${18}^{-1}$ well is produced for some time, believed to be in transient behavior, before shut in for a lengthy build up test. The production history is summarised below:

$\backslash$table$[[\backslash$table$[[$Production Time$],[($hrs$)]],\backslash$table$[[$Total Production$],[($rb$)]]],[25,68],[14,0],[30,60],[99,88]]$

If the fluid and reservoir properties are summarised as follows: $k=65md,h=50ft,=0\mathrm{.}22,=0\mathrm{.}85cp,{}_o=1\mathrm{.}35r\frac{b}{s}tb,C_t=35\mathrm{.}0E-06{}^{-1},$ and $p_i=3500.$

I. Calculate the minimum drainage radius.

II$.$ Calculate the wellbore pressure at the end of the seventh day using Horner's approximation if applicable or any other method if it doesn't.