A newly discovered oil reservoir has an average reservoir pressure of $2100$ psig. A leading

PVT laboratory reports the bubble point of the bottomhole oil sample as $2615$ psig. A

stabilized flow test reveales that the well produces $280ST\frac{B}{?}$ day oil at $1712$ psig bottomhole

flowing pressure. Use Vogel's quadratic IPR equation and answer the following questions:

a$.$ What is the theorethical maximum flow rate $(q_{\text{@},\text{m}\text{a}\text{x}})$ at the present reservoir pressure

and well conditions?

b$.$ Calculate and plot inflow performance relation for this well

$P_{wf}=\{2100,2000,1800,1600,1200,800,600,400,300,200,100,0\}.$

c$.$ What would be the production rate if the bottomhole flowing pressure was dropped to

$1500$ psig?

d$.$ What should be the flowing bottomhole pressure to produce $350$ STB oil daily $?$

e$.$ If the production quota is imposed on the well as $0\mathrm{.}50q_{o,\text{m}\text{a}\text{x}},$ what will be the flowing

bottomhole pressure at the present conditions?

f$.$ Calculate and plot the straight line IPR $($constant $J$ must be calculated from the well

test data$)$ on the same graph. What is the absolute error on $q_{o,\text{m}\text{a}\text{x}}$ if the straight line

IPR approach is used?

Could you solve all the question below? Not just explanation but answers. I'll appreciated