Suppose a manufacturer produces three high$-$cost$,$ low$-$volume products: P$1,$ P$2,$ and P$3.$ Product P$1$ is assembled with components $Cl$ and $C2$; product $P2$ is assembled with components $Cl,C3,$ and $C4$; and product $P3$ is assembled with components C$2$ and C$3.$ Components may be purchased from several vendors, as shown in the following table.

$\backslash$table$[[$VENDOR$,$COMPONENT SUPPLIED$],[$V$1,C1,C2$