Dow Chemicals' (DOW) acquisition of Rohm & Haas (ROH) in 2008: For this entire question use only the information given herein. Assume that the value of synergies is $5 billion. Disregard personal taxes. DOW has 936 million shares outstanding and ROH has 195.2 million shares outstanding. The pre-merger stock prices of DOW and ROH were $33.96 and $44.83 respectively.

If DOW pays cash $78 per share for each of the 195.2 million shares of ROH, what is the distribution of the synergy between the original stock holders of DOW and the stock holders of ROH?