Auschwitz and the Allies

When Hitler announced that the result of the war in Europe would be "the complete annihilation of the Jews," he did so in 1942, not only in public, but before an enormous crowd in Berlin. The Allies heard, but astonishingly, they did not listen. Why?

In 1944, Allied reconnaissance pilots, searching out industrial targets in the area, repeatedly photographed Auschwitz. The pictures, apparently overlooked by the Allies, were routinely filed in government archives and not examined until 1979. Why?

First-hand reports on the horrors of the death camps came to the West by 1944 in the person of two escaped Auschwitz prisoners. Their testimonies, and those of subsequent escapees, were either ignored or dismissed. Why?

Despite the fact that, the same year, Churchill himself had ordered feasibility studies for air strikes on Auschwitz, the RAF not only did nothing, but eventually passed the buck to the Americans, who also did nothing. Why?