5) (15) Logistic model: A State wishes to establish a herd of elk in a forest where none are present. The population follows the Logistic Model given by P(t) = 840 1+14e-0.15t a) (2)Find the initial number of elk Planted in the forest. b) (3)Determine the carrying capacity of the forest. c) (3)Determine when the population reaches % of the carrying capacity. d) (3) Determine the number of years it takes for the population to reach 750 animals. e) (4)Give the meaningful domain and range of the logistic model of elk. Hint: what populations could the elk have? Where does it start and where does it end up?