An ofi ce employs several clerks who create documents and one operator who entersthe document information in a computer system. The group creates documents at a rateof 25 per hour. The operator can enter the information with an average exponentiallydistributed time of two minutes. Assume the population is ini nite, arrivals are Poisson,and queue length is ini nite with FCFS discipline.a. Calculate the percentage utilization of the operator.b. Calculate the average number of documents in the system.c. Calculate the average time in the system.d. Calculate the probability of four or more documents being in the system.e. If another clerk were added, the document origination rate would increase to 30 perhour. What would the expected average number of documents in the system become?Show why.

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Inventory Management

The supply chain is crucial to a firm's operations as it manages the inflow and outflow of products that are manufactured from the initial stage to the end product. It also considers the raw materials needed at different stages of production and when the work is in progress. Inventory management functions consist of ordering, storing, and procuring the organization's inventory like raw materials, factors, and finished products. It's also used for controlling the number of products for trade and helps manage the organization's inventory and stock. Inventory Management has been defined as having the right inventory, of the right volume, at the right cost.