OPERATION MANAGEMENT $3$

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A company manufactures high$-$demand personal electronic devices. The company operates a production line that includes four main processes: Assembly, Quality Check $($QC$),$ Packaging, and Final Inspection. The production line operates $8$ hours a day. Due to increased demand, the company is considering ways to optimize its production line to maximize output without compromising quality. Your task is to analyze the current production process and propose solutions to improve efficiency.

Current Production Process Data:

$\backslash$table$[[$Process$,$Capacity $($Units$/$Hour$),$Defect Rate $(\%),$Rework Time $($Hours$/$Unit$)],[$Assembly$,100,5,0\mathrm{.}1],[$Quality Check $($QC$),80,-,-],[$Packaging$,120,2,0\mathrm{.}05],[$Final Inspection,$70,1,0\mathrm{.}2]]$

Notes:

Defect rate applies to the output of each process. Defective units from Assembly and Packaging are reworked, adding to the total time before moving to the next process.

Rework time is additional time required per unit to fix defects. Reworked units are sent back through the QC but are not counted again in the capacity calculation.

The Final Inspection process identifies defects that require the unit to be scrapped.