Growth rate: The per capita growth rate r (on an annual basis) of a population of grazing animals is a function of V , the amount of vegetation available. A positive value of r means that the...

Growth rate: The per capita growth rate r (on an annual basis) of a population of grazing animals is a function of V , the amount of vegetation available. A positive value of r means that the population is growing, whereas a negative value of r means that the population is declining. For the red kangaroo of Australia, the relationship has been given22 as

Here V is the vegetation biomass, measured in pounds per acre.

 a. Draw a graph of r versus V. Include vegetation biomass levels up to 1000 pounds per acre.

 b. The population size will be stable if the per capita growth rate is zero. At what vegetation level will the population size be stable?