a special-order shop receives orders arriving with interarrival times distributed as expo(30)all times are in minutes. the number of parts in each order is a unif(3, 9) random variable (truncated to the next smallest integer). upon receiving the order, the parts are immediately pulled from inventory and sent to the prep area (this transfer takes zero time) where they undergo an individual prep operation, the time for which is distributed as tria(2, 3, 4). after the prep operation, the parts are transferred (this transfer takes 4 minutes) to a staging area to wait for the final order authorization. the final order authorization takes an amount of time distributed as unif(170, 230), after which the parts are released to be processed, which requires an amount of time distributed as tria(3, 4, 6). after processing, the parts are assembled into a batch and sent to the packer (zero transfer time) to be packed, which takes an amount of time distributed as tria(8, 10, 14) for the batch. the packed parts exit the system. during the order-authorization process, 4% of the orders are canceled. these parts are removed from the staging queue and sent back to inventory (zero transfer time). develop a simulation model for this system and run it for 20,000 minutes with a warm-up of 500 minutes. observe statistics on the number of canceled orders, the number of canceled parts, the time in system for shipped orders, and resource utilizations. also, use frequencies to determine the number of racks required to hold the parts in the staging area (each rack can hold 25 parts). (hints: use hold/signal for order authorization and search/remove to cancel orders.)