A level- and slope-neutral butterfly

A PCA of daily changes in the 2y, 5y and 10y yields gives loadings PC1 (level) $= (0.51, 0.64, 0.57)$ and PC2 (slope) $= (-0.75, 0.01, 0.66)$. The level factor has a standard deviation of 10.8 bp/day.

(a) You short $10,000 of 5y DV01 and buy 2y and 10y DV01 so the trade has zero exposure to level and slope. How much 2y and 10y DV01 do you buy?

(b) A colleague instead runs a 50/50 butterfly: short $10,000 of 5y DV01, long $5,000 each of 2y and 10y. What is its P&L on a one-standard-deviation rise in the level factor, with the other factors unchanged?