The Problem:

You need to model an inventory problem for a dates' factory. Barakat Co$.$ are gourmet quality dates whole sellers. Barakat Co$.$ imports dates from different countries. Orders from local customers are received daily. Around TRIA$(1,2,3)$ orders received daily. The quantities for each order are TRIA$(30,50,100)kg.$ The current inventory is $1300kg.$ Every day a worker evaluates and count the inventory available. If the inventory is below $500kg,$ the sales department issue a request for a new shipment of dates. Each shipment takes seven days to arrive and has a load of $1000kg$ of dates to replenish $($refill$)$ the inventory. If a customer order is smaller than available stock the customer collects what is available. The factory operates $6$ days a week, $8$ hours a day, a workday starts at $9$:$00$ am$.$ The company has four workers for this section of the company. The first two workers go to break at $12$:$00$ the remaining go to break at $1$:$00$ pm only during this time for $45$ minutes. The workers go to irregular unavoidable breaks for Norm$(7,1\mathrm{.}2)$ minutes every Expo$(80)$ minutes even if they are busy with work. Additional processes information are provided below:

$\backslash$table$[[,$Duration $($min$),$Priority,$\backslash$table$[[$Simultaneous workers$],[($needed the same$],[$time$)]]],[$Prepare pack order,NORM$(33,7)$ oer order,High,$1],[$Unload shipment,NORM$(110,30)$ per shipment,Medium,$4],[$Check Storage,NORM$(40,5)$ per visit,Low,$1]]$

Model this system for $10$ replications each of the length of $2$ months. Calculate:

The number of orders.

The amount of sold kilograms.

The amount of lost orders.

The amount of lost $kg$

The total amount of received shipments

The net$($current$)$ inventory $($storage$).$

The amount of time dates stored in the warehouse.

Your solution should be organized as follows:

Problem statement: re$-$write the problem itself

a$)$ Indicate system entities

b$)$ Indicate system resources