Question $(3)(25$ marks$)$

A part requires three processing steps on three machines in the sequence $\backslash (\backslash$mathrm$\{$A$\}-\backslash$mathrm$\{$B$\}\backslash$cdot $\backslash$mathrm$\{$C$\}\backslash ).$ The demand for this part is $10,000$ units per week. The company operates six days per week, eight hours per day. Given the following performance data, answer the following questions:

$-$ Calculate the number of parts processed per week in each operation. and find the number of machines A$,$B$,$C needed to meet the market demand