CREATE TABLE table_34705 ("Date" TEXT, "Tournament" TEXT, "Location" TEXT, "Winner" TEXT, "Score" TEXT, "1st prize  (  $  ) " FLOAT)

What is the lowest first prize of the Mercedes Championships tournament in California?
SELECT MIN("1st prize ( $ )") FROM table_34705 WHERE "Location" = 'california' AND "Tournament" = 'mercedes championships'
SELECT MIN("1st prize ( $ )") FROM "table_34705" WHERE "Location" = 'california' AND "Tournament" = 'mercedes championships'