Problem $5(20$ Points$)$ Calculate the flow rate of a well producing under both steady state and semi steady state conditions, given the following properties:

Wellbore Diameter: $6$ in

Viscosity of oil: $2$ cp

Oil Formation Volume Factor: $1$

Permeability: $10$ mD

Reservoir Thickness: $20$ ft

Pressure at the outer boundary: $1100$ psi

Reservoir Radius: $250$ ft

Flowing well pressure: $100$ psi

Skin factor: $+4$