Consistency about elasticities

If you think “stimulus” is effective right now, presumably you think supply curves are pretty elastic and thus fairly horizontal. That is, some increase in price/offer will induce a lot more output.

If you think we should hike the minimum wage right now, presumably you think supply curves are pretty inelastic and thus fairly vertical.  That is, some increase in price for the inputs will lead not to much of a drop in output and employment, maybe none at all.  The supply curve is fairly vertical.

You might somehow think that supply is elastic with respect to output price, but inelastic with respect to input price.  Is there a model that can generate that conclusion?  It is the net profit on the marginal output units that should matter for decisions.  And did you start with that model, or develop it afterwards to justify your dual intuitions?

Source: Consistency about elasticities