I'm no expert, but my studying of this has lead me to this belief:
The tire marking is the maximum design cold pressure as determined by the tire manufacturer.
The door jamb sticker is the vehicle manufacturer recommended pressure to achieve balance with the rated load capacity, ride comfort and government fuel economy mandates.
If you look up the load charts for your tires, you'll see the Ford pressure rating matches up with the axle rating.
My grocery getter 1500 has Goodyear E tires (10 ply), but only needs 42 psi to achieve the axle weight rating on the tires. The tires are also marked 80 psi max cold. I run my rears at 60 psi when towing, just to firm things up a little.