T'Wolves trade Beasley, Randolph, and Wes Johnson
Celtics trade Allen, JuJuan Johnson (or some other cap filler), and 2012 1st rounder
T'Wolves do this trade because Beasley no longer fits into the teams plans. Randolph and Wes Johnson sweeten the pie for Boston to make them throw in a 1st in a loaded draft. Moving these players frees up more playing time for Williams. Ray Allen is the key acquisition in this trade. He would provide veteran leadership for a young team that could make the playoffs this year. His outside shooting is needed because the teams current SG are anemic from 3. Adding Ray to the lineup would spread the floor and open up driving lanes for Rubio, Love, and Williams. The real beauty of this move for the T'wolves is they come away with assets for players that either have underachieved or are no longer in their plans for the future.
Boston does this trade because they need young talent and the only way they can acquire it is through trade. Beasley has his flaws, but if he is willing, Boston's players and coaches can teach how to be a real pro. Basically the same thing for Randolph.