I used to night stock there. The best time is around 10pm Mon. Wed. Fri. And Sat. The other nights were back stock ....so little to no boxes. Night stock at the store where i work on 10th St in Sioux falls starts around 9pm. By the time they spread out the merchandise and start shelving is around 10-11pm. Anywhere from small boxes up to large that hold paper towels and T.P. Just go in and ask the night stock manager. By morning they are all disposed of.
That is probably true for most Hy-Vee stores They finidh the stocking from overnight & the send the empty boxes to the compactor for recycling.
What kind of boxes?
You would have to go real early in the morning and ask a manager for them.
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