Product $A$ is made from components $B$ and $C.$ Item $B,$ in turn, is made from $D$ and $E.$ Item $C$ also is an intermediate item, made from $F$ and $H.$ Finally, intermediate item $E$ is made from $H$ and G$.$ Note that item H has two parents. The following are item lead times:

$\backslash$table$[[$Item$,$A$,$B$,$C$,$D$,$E$,$F$,$G$,$H$],[$Lead Time $($weeks$),3,3,1,5,2,5,4,2]]$

a$.$ What lead time $($in weeks$)$ is needed to respond to a customer order for product $A,$ assuming no existing inventories or scheduled receipts? integer.$)$

$$ weeks. $($Enter your response as an