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Problem #1: How much will the storage of logs cost for a standard, monolithic 100,000 RPS web application?
You can find many numbers you might need on sirupsen/base-rates. If you don't, consider submitting a PR! I hope for that repo to grow to be the canonical source for system's napkin math.
Don't overcomplicate the solution by including e.g. CDN logs, slow query logs, etc. Keep it simple.
You might want to refresh your memory on Fermi Problems. Remember that you need less precision than you think. Remember that your goal is just to get the exponent right, x in n * 10^x.
Wolframalpha is good at calculating with units, you may use that the first few times--but over time the goal is for you to be able to do these calculations with no aids!
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How much will the storage of logs cost for a standard, monolithic 100,000 RPS web application?