A vertical well of $7000$ ft is drilled and completed in a reservoir of average reservoir pressure $3000$ psi. The bubble point pressure of reservoir oil is $3200$ psi. The flow test results show that the flow rate at $1800$ psi bottom$-$hole pressure is $100$ bbl$/$d with GLR $1.$ Perform a sensitivity analysis for $($i$)$ different tubing sizes as per API standard and $($ii$)$ tubing head pressure between $100$ to $500$ psi. $(20$ Marks$)$