Ahhhh, the good old Phillips Curve illustration. There are definitely some stimulating topics of ET from time to time.
Inflation will boost employment and therefore output in the short run, in the long run, we'll only be left with the higher prices. This is poor tool that policy makers use to "jumpstart" economies like they are doing now.
It makes perfect sense, price of oil rises, oil becomes profitable to produce and production is ramped up. Oil field workers go back to work, new rigs are commissioned, etc. Now more oil is being consumed by the rising employment force and oil field machinery. Classic demand-pull scenario.
It's only a temporary effect, and if inflation gets too high, it will kill the fragile economy. Benny and Timmy need to stand vigilant, and be ready to keep inflation at moderate levels.