The Picking, Packing, and Shipping process uses $4$ different teams:

Picking team $-$ gets items from the shelves and sends to Packing Group A and Packing Group B

Packing Group A $-$ packs items from the Picking team; sends to Shipping team

Packing Group B $-$ packs items from the Picking team; sends to Shipping team

Shipping team $-$ ships items from Packing Group A and Packing Group B

During a shift, the number of items picked from the shelves by the Picking team must equal the number of items shipped by the Shipping team. Items are packed by the two teams $($Packing Group A and Packing Group B$).$ Each Packing group packs different percentages of the total volume being shipped for the shift. Also, each group processes items at a different rate. Each worker's shift is $8$ hours.

Use the information provided to choose the best answer to each question.

$\backslash$table$[[$Team$,\%$ of Volume,Items processed per person per hour$],[$Picking$,100\%,245],[$Packing Group A$,45\%,177],[$Packing Group B$,55\%,195],[$Shipping$,100\%,422]]$

How many workers should be Picking in order to ship $125,750$ units for the shift?