Q$\mathrm{.}2.$ In chart above, you are given the routing sheet for three types of widgets manufactured by Weedjets Manufacturing International.

$($a$)$ Make a list of the product types and their codes.

$($b$)$ Make a list of the equipment types and their codes.

$($c$)$ Assign a numeric code for each widget type$-1,2,3.$ Assign an alphabetic code for each equipment type$-$A$,$ B$,$ C$,$ etc.

$($d$)$ Assume there are two units of machine type $01204$ and that $30\%$ of all part types that require machine type $01204$ are processed on the first copy and the remaining $70\%$ on the other. Determine the new frequency of trips matrix.

$($e$)$ Weedjets Manufacturing International has currently arranged the five equipment types. Coordinates of the five machines A$,$ B$,$ C$,$ D and $E$ are $(10,7\mathrm{.}5),(20,20),(60,12\mathrm{.}5),(35,7\mathrm{.}5),$ and $(5,20),$ respectively. Determine the dimensions of each equipment type.

$($f$)$ Using a spreadsheet software, determine the following distance measures for each equipment pair:

$($i$)$ Euclidean

$($ii$)$ Squared Euclidean

$($iii$)$ Rectilinear

$($iv$)$ Tchebychev

$($g$)$ Using the distances calculated and frequency of trips between matrix, determine the sum of flow times distance for the equipment pairs for each distance metric.