please help! A population of Monarch butterflies shows a trend that suggests a logistic growth. If the carrying capacity is 500 butterflies and r = 0.1 individuals/(individuals x month), what is the maximum population growth rate for the population? (Hint: maximum population growth rate occurs when N = K/2). Solution please help! A population of Monarch butterflies shows a trend that suggests a logistic growth. If the carrying capacity is 500 butterflies and r = 0.1 individuals/(individuals x month), what is the maximum population growth rate for the population? (Hint: maximum population growth rate occurs when N = K/2). your answer : as per question : K = 500 and r = 0.1 and the maximum population growth occured at N = (K/2) SO THE MAXIMUM POPULATION SIZE WILL BE > K/2 = 500/2 = 250 WE KNOW THE logistic growth equation IS dN/dt = rN[1-N/K] SO, dN/dt = (0.1)(250) [1 - (250)/500)] Or, dN/dt = 12.5 individuals/month so the maximum population growth rate for the population is 12.5 individuals/ month ( answer).