Improve the clarity of a graphic

Hello,
I want to use Mathematica to plot 2, 3D graphs which delimit different regions on the space, and I want to show which are the differences between the region they delimite. This regions are

z>= cte /(4 x + 2) and z>= cte/(1+2x+2y)

To now, what I have made is:

F1[x_, y_] := a/(4 x + 2);
F2[x_, y_] := a/(1 + 2 x + 2 y);

p1 = Plot3D[F1[x, y], {x, 0, 20}, {y, 0, 20}, Mesh -> None,
  PlotStyle -> Directive[Yellow, Specularity[White, 20], Opacity[0.7]],
  ExclusionsStyle -> {None, Red}, PlotRange -> Full]

p2 = Plot3D[F2[x, y], {x, 0, 20}, {y, 0, 20}, Mesh -> None, 
  PlotStyle -> Directive[Red, Specularity[White, 20], Opacity[0.8]], 
  ExclusionsStyle -> {None, Red}, PlotRange -> Full]

Show[p1,p2]

But I am not quite happy with the result, which in my opinion lacks the clarity enough for a formal document.

Can someone with more ability for representations help me to get a better representation?

link to cross post

You might look at RegionPlot3D.

F1[x_, y_] := a/(4 x + 2);
F2[x_, y_] := a/(1 + 2 x + 2 y);
v = a -> 2;
p1 = RegionPlot3D[
  z >= F1[x, y] /. v, {x, 0, 20}, {y, 0, 20}, {z, 0, 2}, Mesh -> None,
   PlotStyle -> 
   Directive[Yellow, Specularity[White, 20], Opacity[0.7]], 
  PlotRange -> Full]