Because it's a route that so clearly is in dire need of more capacity, Air Europa will operate a Thursday Palma, and Small planet will run a Saturday flight from the end of May.
I suspect that your comment may be slightly tongue-in-cheek there, LAX! But as an anecdote, I flew PMI-MAN on the Condor Flug B753 service in late September (long after the schools had gone back). A check-in supervisor advised me that the flight was overbooked and offered me EUR200 to fly to BHX with taxi to MAN instead. They couldn't offer a seat on any of the [many] alternative flights operating to MAN that day. I chose to stick with CFG4711.
Given that many holidaymakers are becoming nervous about the security situation affecting some mainstream Mediterranean destinations (eg. Tunisia), perhaps there is a good case for adding capacity to the reliable old favourites.