A logistics firm owns $5$ trucks. Their objective is to visit $5$ different distribution centers $($DCs$)$ in Montreal and pick$-$up the necessary items belong to $10$ Montreal area businesses $($B$)$ and deliver them twice per day. When a DC receives an item, its final destination $($final shipping address is one of the $10$ businesses$)$ is known. Distance between all physical locations and arrival rates $($proportion of arriving items belonging to a business$)$ of items at each distribution center are given in table below. Items arrive to distribution centers randomly all day long $($probability distributions are provided in the table below$).$ Average speed of trucks are $40$km$/$hr in Montreal. First pickup from distribution centers is at $8$ AM in the morning and latest pickup is at $5$ PM in the afternoon. Based on the given information, model the distribution operations in Arena to simulate for $10$ days. Please use ARENA blocks to model your distribution system.

Table $1$: Distance between facilities

 DC$1$ DC$2$ DC$3$ DC$4$ DC$5$ B$1$ B$2$ B$3$ B$4$ B$5$ B$6$ B$7$ B$8$ B$9$ B$10$

DC$101135107630281647442541$

DC$2016534432022474120302831$

DC$30121221442637314734403$

DC$405113352526382033311$

DC$506353720313124384735$

Business $10124373643847143$

Business $20613104435347$

Business $30374487244840$

Business $40451741394021$

Business $507418186$

Business $601524021$

Business $70251921$

Business $804421$

Business $9024$

Business $100$

Table $2$: Arrival patterns of items at DCs and their distribution to each organization $($B$1...$ B$10)$

Time between arrivals Probability of arriving items to be for a particular business

 B$1$ B$2$ B$3$ B$4$ B$5$ B$6$ B$7$ B$8$ B$9$ B $10$

DC$1$ EXPO$(5)$ minutes $0\mathrm{.}080\mathrm{.}100\mathrm{.}090\mathrm{.}100\mathrm{.}080\mathrm{.}150\mathrm{.}150\mathrm{.}080\mathrm{.}120\mathrm{.}06$

DC$2$ TRIA$(5,7,10)$ minutes $0\mathrm{.}150\mathrm{.}040\mathrm{.}090\mathrm{.}150\mathrm{.}070\mathrm{.}100\mathrm{.}140\mathrm{.}070\mathrm{.}060\mathrm{.}14$

DC$3$ EXPO$(3)$ minutes $0\mathrm{.}080\mathrm{.}080\mathrm{.}110\mathrm{.}080\mathrm{.}110\mathrm{.}150\mathrm{.}150\mathrm{.}110\mathrm{.}060\mathrm{.}09$

DC$4$ TRIA$(3,5,10)$ minutes $0\mathrm{.}070\mathrm{.}150\mathrm{.}100\mathrm{.}050\mathrm{.}120\mathrm{.}070\mathrm{.}120\mathrm{.}120\mathrm{.}120\mathrm{.}09$

DC$5$ NORM$(5,1)$ minutes $0\mathrm{.}080\mathrm{.}040\mathrm{.}110\mathrm{.}080\mathrm{.}170\mathrm{.}160\mathrm{.}130\mathrm{.}110\mathrm{.}100\mathrm{.}04$