$(25\%)$ A well is producing with an exponential decline. The effective decline rate is $20\frac{\%}{?}$ year and the initial production rate is $300$ STB$/$D$.$

a$.$ Estimmate the production rate at the end of the first year in STB$/$D$.$

b$.$ Estimate the production for the first year in barrels.

c$.$ Schedule annual production for the first five years.

d$.$ Assume the final rate of the well is ten STB$/$D$,$ what is the productive life of the well in years?

e$.$ Estimate the Ultimate Recovery of the well in barrels.