Consider the layout shown in Figure, and the From$-$To Chart is presented in Table. The AGVS includes load station $1$ where raw parts enter the system for delivery to any of three production stations $2,3,$ and $4.$ Unload station $5$ receives finished parts from the production stations. Load and unload times at stations $1$ and $5$ are each $0\mathrm{.}5$min. Production rates for each workstation are indicated by the delivery requirements in Table. Some parts must be transshipped between stations $3$ and $4.$ Vehicles move in the direction indicated by the arrows in the figure. Determine the average delivery distance, $L_d$