A small warehouse provides work in process storage for a manufacturing facility that produces four different part types. The part-type percentages and inventory costs per part are: Inventory Cost Part Type Percentage Per Part $5.5 $6.5 $8.0 $10.5 20 2 30 30 20 The interpretation of "inventory cost per part" is as follows. Each part in inventory contributes an amount from the last column of the above table to the total cost (value) of inventory being held at the moment. For instance, if the current inventory is three units of Part 1, none of Part 2, five of part 3 and one of Part 4, the current inventory is 3 x $5.5 +0 x $6.5 + 5 x $8.0 +1x $10.5 = $67.00 As parts arrive and depart, as described below, this inverntory cost will rise and fall. Parts arrive with TRIA(1.25,2.0,2.8) interarrival times (all times in minutes); the first part arrives at time 0. Two cranes store and retrieve parts with travel time of UNIF(1.25,2.9), each way. Requests for part removal (think of them as customers) arrive with TRIA(1.25,2.0,2.8) interarrival times, independently of the arrival process for the parts, and the first request arrive at time 0. If no part is available, the request is not filled. All part requests are given priority over part storages in terms of getting the use of a crane, and priority is given to retrieving based on the highest cost. For part arrivals, increment the inventory cost upon arrival, and increment the total number of parts in Inventory after the part is stored. For part requests, decrement the total number of parts In inventory as soon as you know there is a part to retrieve, and decrement the inventory cost after the part is retrieved. Run you model for a single replication of length of 5,000 minutes starting with four of each part type in the warehouse. Collect statistics on the crane utilization, the average inventory cost, the average number of each of each part type in the warehouse, and the number of unfilled requests due to having no part of the requested type. HINTS: Use index variable of part inventory and per-part cost. (Note that you can use the "Other" option in Assign module when assigning index variable, or you could select the Type in the Assign module Variable Arrayl1D]. Use discrete distribution to determine the part type and the statistic data module (with Type selected as time-persistent) to collect some of the required statistics.