Integrated fluxes of the methanol lines for models with low (green) and high (orange) mm opacity dust grains. The dashed lines show the envelope-only models, and the solid lines show the envelope-plus-disk models. The fiducial models are indicated by a cross. The models are the same as those plotted in Fig. 5. The dotted line indicates the minimum disk radius needed to see a drop of a factor of about two in intensity of the envelope-plus-disk model.