शायद इसी से शुरू करें...
SELECT p.OperaterID
, p.OperationID
, SUM(p.TotalProduced) TotalProduced
, SUM(p.TotalProducedOperator) TotalProducedOp
, CASE WHEN DAYOFWEEK(p.startdatetime) IN (1,7) THEN 'Normal working day' ELSE 'Weekend' END DayType
FROM tblproduction p
WHERE p.StartDateTime >= '2015-02-01 00:00:00' AND p.StartDateTime <= '2015-02-28 23:59:59'
AND p.OperaterID = 10
AND DATE(p.StartDateTime) NOT IN (SELECT HolidayDate FROM tblholidays)
GROUP
BY p.OperaterID
, p.OperationID
, CASE WHEN DAYOFWEEK(p.startdatetime) IN (1,7) THEN 'Normal working day' ELSE 'Weekend' END