One operator loads and unloads a group of five machines. Service time is exponentiallydistributed with a mean of 10 minutes per cycle. Machines run for an average of 70 minutesbetween loading and unloading, and this time is also exponential. Find the following:a. The average number of machines waiting for the operatorb. The expected number of machines runningc. Average downtimed. The probability that a machine will not have to wait for service

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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.