Question $1$: Four parts A$,$ B$,$ C$,$ D are to be produced and the production sequence for parts are as follows:

$\begin{array}{cc}\text{P}\text{a}\text{r}\text{t}& \text{P}\text{r}\text{o}\text{d}\text{u}\text{c}\text{t}\text{i}\text{o}\text{n}\text{s}\text{e}\text{q}\text{u}\text{e}\text{n}\text{c}\text{e}\\ A& \text{s}\text{a}\text{w}\text{t}\text{u}\text{r}\text{n}\text{m}\text{i}\text{l}\text{l}\text{d}\text{r}\text{i}\text{l}\text{l}\\ B& \text{s}\text{a}\text{w}\text{m}\text{i}\text{l}\text{l}\text{d}\text{r}\text{i}\text{l}\text{l}\text{p}\text{a}\text{i}\text{n}\text{t}\\ C& \text{g}\text{r}\text{i}\text{n}\text{d}\text{m}\text{i}\text{l}\text{l}\text{d}\text{i}\text{l}\text{l}\text{p}\text{a}\text{i}\text{n}\text{t}\\ D& \text{w}\text{e}\text{l}\text{d}\text{g}\text{r}\text{i}\text{n}\text{d}\text{t}\text{u}\text{r}\text{n}\text{d}\text{r}\text{i}\text{l}\text{l}\end{array}$

All parts come from stores and go to the assembly after being processed according to the production sequences above. The daily production rates for the parts are:

$\begin{array}{cc}\text{P}\text{a}\text{r}\text{t}& \text{P}\text{r}\text{o}\text{d}\text{u}\text{c}\text{t}\text{i}\text{o}\text{n}\text{r}\text{a}\text{t}\text{e}\\ A& 300\\ B& 200\\ C& 100\\ D& 200\end{array}$

Construct the from$-$to chart.

$\backslash$table$[[,$Stores,Saw,Grind,Weld,Turn,Mill,Drill,Paint,Assembly$],[$Stores$,0,500,100,200,0,0,0,0,0],[$Saw$,0,0,0,0,300,200,0,0,0],[$Grind$,0,0,0,0,200,100,0,0,0],[$Weld$,0,0,200,0,0,0,0,0,0],[$Turn$,0,0,0,0,0,300,200,0,0],[$Mill$,0,0,0,0,0,0,600,0,0],[$Drill$,0,0,0,0,0,0,0,300,500],[$Paint$,0,0,0,0,0,0,0,0,300],[$Assembly$,0,0,0,0,0,0,0,0,0]]$