A simplified bootstrap-type model of Polyakov for the e+e− annihilation to hadrons is studied. Simple momentum-space and coordinate-space pictures of the annihilation process are described which turn out to be useful in deriving the gross features like the power-law growth of the average multiplicity with the energy of the e+e− system. The consistency of the Polyakov model with the renormalization-group equations is investigated. It is found that the anomalous dimension of the underlying field theory plays a very crucial role in making the basic assumptions of the model justified. The gross features can therefore be obtained by using the renormalization-group equations only and are independent of the exact nature of hadronic states.