QUESTION $44\mathrm{.}1$ Consider the below table. The setup times for parts X and Y are $4\mathrm{.}8$ hours and $3\mathrm{.}2$ hours per week respectively. Part $\backslash ($ X $\backslash )$ has an annual demand of $21320$ parts and is routed through machine A$,$ then B$,$ whereas part Y has an annual demand of $19860$ parts and is routed through machines $\backslash ($ B $\backslash ),$ then $\backslash ($ A $\backslash ).$ The company operates $48$ hours per week. $4\mathrm{.}1\mathrm{.}1$ Calculate the machine fractions for machines A and B $,$ in order to produce parts X and $\backslash ($ Y $\backslash )$ in sufficient volumes to meet the expected demand subject to the above operational variables.