Q$1)(35$ pts$)$ A well is producing $5000$ bbl$/$day from a well. There are mainly three formation sections with equal widths $($A$,$ B$,$ C$),$ which contribute to the total oil production. The wellbore pressure is $1600$ psia and the wellbore radius is $1$ ft Furthermore, it is known that there is a damage zone of $2$ ft around the wellbore. The permeability of section $\backslash ($ A $\backslash )$ is $200$ mD $,$ section $\backslash ($ B $\backslash )$ is $150$ mD $,$ whereas the permeability drops to $75$ mD in the damaged zone. Reservoir pressure at the outer boundary at $200$ ft is $2600$ psia. The fluid viscosity is measured as $1\mathrm{.}6$ cP $.$ Please calculate the permeability of the section C accordingly.