The number of years left for this society to reach its limit$,$ which you calculated in question $1,$ seems tragically short. One possibility is that such a short period is the result of assuming that the initial stock of available resources was given too low a value. Instead, lets double it so now that initial stock is $$300,000,000\mathrm{.}00.$ Leaving all the other parameters or numerical assumptions unchanged $($that is$,$ don$$t change p$,$ r or the minimum per capital consumption level$).$ Would a doubling of initial resources eliminate a limit to growth?

a$.$ does a limit to growth, in terms of the $$50\mathrm{.}00$ minimum per capita consumption level, now exist?

b$.$ if not, why not? if so$,$ between what two years does society reach this limit$?$

c$.$ how many additional years of growth did the society exhibit after doubling the initial stock of resources?

d$.$ what would the initial stock of resources need to be in order for society to sustain positive growth to reach between $99$ and $100$ years from now?