Before Alex Rodriguez opted out of his contract with the Yankees earlier this week, the team was told that it would not be able to meet with the third baseman unless it presented an offer of at least $350 million, sources say. The Yankees had hoped to meet with Rodriguez this week, and would have presented him with an extension offer close to five years and $150 million, to begin at the conclusion of his 2008-2010 contract, through which he would have earned $81 million. Through the Yankees' proposal, then, Rodriguez would have made about $230 million over eight years, and during the last five years of the contract, sources say, he would have earned the highest annual salary in Major League Baseball history. But team executives were told, sources say, that in order to arrange a meeting with Rodriguez, they would have to be prepared to make an extension offer that would take the third baseman's deal up to a total value of $350 million. That means that the offer the Yankees intended to propose would have been more than $100 million short.