QUESTION $4$

$4\mathrm{.}1$ Consider the below table. The setup times for parts $x$ and $Y$ are $3\mathrm{.}8$ hours and $2\mathrm{.}2$ hours per week respectively. Part $x$ has an annual demand of $40320$ parts and is routed through machine A$,$ then B$,$ whereas part $Y$ has an annual demand of $20860$ parts and is routed through machines $B,$ then $A.$ The company operates $48$ hours per week.

$\backslash$table$[[,$Machine A$,$Machine B$],[$Std Time Part X$,0\mathrm{.}25$ hr$,0\mathrm{.}3$ hr$],[$Std Time Part Y$,0\mathrm{.}32$ hr$,0\mathrm{.}38$ hr$],[$Defect Estimate Part X$,4\%,3\%$