A neutral beam designed to transmit a high flux of Λ0 hyperons with momenta above 50 GeV/c has been built and operated at Fermilab. Inclusive production cross sections per target nucleus have been measured for p+A→Λ0+X, p+A→KS0+X, and p+A→Λ̄0+X with 300-GeV protons incident on solid targets A=berylium,copper,andlead. The region of phase space covered is predominantly projectile fragmentation: 0.2<~x<~1, 0<~p<~2 GeV/c. The A dependence of the inclusive cross sections is analyzed. The cross sections are compared to other work in pp collisions by extrapolating the A dependence to A=1. The results of measurements of Λ0 and Λ̄0 polarization from the beryllium target are presented.