The fruiting of the bamboo dramatically changes the food resources available to the rats. whereas, before the fruiting the carrying capacity was 100 females, now it increases temporarily to something like 5,000. the rats in turn undergo a shift in life history such that their intrinsic rate of increase (r) grows from 0.15 to about 3. set the starting population size (n0) at 100 to represent a population at the former carrying capacity. change the carrying capacity and the value for r to 5,000 and 3 respectively. how long does it take for the population to reach this new carrying capacity? what do the population dynamics look like over the next 20 time steps? why?