Why do baseball players get paid more than policemen teachers and firefighters?

By contract with the union for Major League Baseball Players Association, starting pay for a new player brought up from the minor leagues is at least $600,000.

This rate of pay is higher than for policemen, teachers and firefighters because Baseball players are "entertainers" and are paid by privately owned baseball teams. The formerly mentioned jobs are vital ones, however, the pay is from taxpayers. This could not be funded by any local, State or Federal government.