MLG HAS BLEED TRIP LIGHT ACTIVATE AT CRUISE. ELECTS TO CONTINUE FLT WITH FUEL CONCERNS.

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ENRTE FROM DEN TO LAX WE HAD A BLEED TRIP LIGHT COME ON. AFTER THE ABNORMAL PROCS WERE COMPLIED WITH; WE CONTACTED COMPANY; MAINT; AND DISPATCH. WE ALL AGREED TO CONTINUE THE FLT. THE ONLY RESTR WITH 1 PACK INOP WAS; MAX ALT IS FL250. WE WERE FLT PLANNED FOR FL350. WE REPROGRAMMED THE FMC FOR FL250 AND WOULD LAND WITH 4900 LBS OF FUEL ON BOARD. LAX WX WAS VFR. APPROX 300 NM FROM LAX WE WERE SLOWED TO 250 KTS. REPROGRAMMING THE FMC AT 250 KTS THE FMC SAID LNDG FUEL 4300 LBS. APPROX 150 NM FROM LAX WE WERE ISSUED THE SADDE6 ARR OVER PMD. THE FMC SAID LNDG FUEL WOULD BE 3900 LBS. WE NOTIFIED CTR THAT WE COULD NOT ACCEPT THAT ARR BECAUSE OF FUEL. WE WERE GIVEN BACK OUR OLD CLRNC OF THE CIVET1 ARR. AT THIS POINT LNDG FUEL WAS 4200 LBS. AT 50 NM OUT FROM LAX WE WERE HANDED OVER TO LAX APCH. THEY TOLD US THAT THEY WERE AWARE OF OUR LOW FUEL PROB. WE SAID WE DID NOT HAVE A LOW FUEL PROB. LAX APCH THEN ASKED US TO TURN L 090 DEGS FOR SPACING. FMC LNDG FUEL WAS 4100 LBS. APCH THEN HAD US S-TURN FOR TFC THE REST OF THE WAY IN. AFTER TOUCHDOWN; TAXI; AND PARKING; REMAINING FUEL WAS 3700 LBS WHICH IS MUCH LOWER THAN WE ARE ALLOWED TO LAND WITH. I FEEL THAT BETTER COM BTWN CTR AND APCH WOULD HAVE HELPED US. IF APCH WAS AWARE THAT WE DID NOT HAVE A LOW FUEL PROB BUT WE DID NEED TO CONTINUE DIRECT ON THE CIVET1 ARR WITHOUT VECTORS OR S- TURNS WE WOULD BE OK AND NOT HAVE LANDED WITH SUCH LOW FUEL.