I wrote: Your RP is an average "value" RP pertaining to the sphere of production only, but quantitatively its magnitude depends a lot on the definition of (Uf) (whether it enters in the nominator or denominator, since if it does not enter in the denominator, it enters into the nominator; an increase in Uf depresses ).
It should be: "an increase in Uf reduces V and increases S, and therefore independently raises the value RP". J.