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Suppose we have a sequential (ordered) file of 100,000 records where each record is 240 bytes. Assume that B = 2400 bytes, s = 16 ms, rd = 8.3 ms, and btt = 0.8 ms. Suppose we want to make X independent random record reads from the file. We could make X random block reads or we could perform one exhaustive read of the entire file looking for those X records. The question is to decide when it would be more efficient to perform one exhaustive read of the entire file than to perform X individual random reads. That is, what is the value for X when an exhaustive read of the file is more efficient than random X reads? Develop this as a function of X.

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