An assembly worker is performing a repetitive manual task consisting of inserting $8$

plastic pegs into $8$ holes in a flat wooden board. A slight interference fit is involved in

each insertion. Each work cycle consists of her picking up a board from the stack of

boards located on the left side of the worktable $($about $15$ in$.$ away from center, where

they were placed by a material$-$handling worker$),$ performing the $8$ insertions, and then

placing the assembled board into a rack that is next to the starting stack. Her first step

in the work cycle is to reach for the top board in the stack with her right hand, pick it

up$,$ and exchange it to the left hand. While holding the board in her left hand, she picks

up the pegs from a tray about $10$ in$.$ away in front of her with her right hand and inserts

them into the holes in the board, one peg at a time. The rack holding the completed

boards has a capacity of six assemblies. When the rack is full, the worker gets up from

her worktable, picks up the loaded rack, carries it to a pallet located on the floor $3$ ft away

from the workplace, and places it onto the pallet.The pallet only holds four racks on one

layer. A material$-$handling worker riding in a forklift truck must periodically take the

pallet away and replace it with an empty pallet. Because of delays by the materialhandling worker, the assembly worker is occasionally forced to stop working and wait

for the pallet exchange to occur. $($a$)$ Identify some of the principles of motion economy

that are violated in this work cycle. $($b$)$ What recommendations for improvement would

you make?