I hope this will be different when Patch 11.1 is launched, but during PTR testing it was not very obvious how to complete this Weekly.
While you can do Shipping & Handling jobs (getting random delivery and other jobs from [npc=227210] in Undermine) whenever you start them with the [spell=455055] button in your [spell=460013], "Surge Pricing" will only be active for 10 minutes every hour at the half-hour. During that time frame, you will get improved rewards for S&H jobs, and all jobs completed by players will count towards a progress bar on top of your screen.
At certain thresholds ( 10 | 50 | 150 ) on the bar, players who have at least completed one job on the way to the next threshold will receive a reward container, and getting one of these Surge Pricing rewards ( [item=236756] | [item=236757] | [item=236758] ) was required to get credit for this Weekly Quest. The bar will be reset for the next hour. (But I don't know when exactly because several times people continued with jobs when the bar was gone, and it still counted hiddenly and gave me the next reward.)