What kind of time series do I need?

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I am trying to optimize a list of websites on which to purchase banner advertising using the following setup:

  • For each banner ad impression I buy I am charged $0.001.

  • When my ad is clicked it results in $0.50 revenue.

  • Each website has a constant but different number of visitors per day.
  • You are only allowed to pick the top 10 sites for your campaign.
  • You have a fixed budget on which to spend advertising

Initially I approached this problem simply by calculating ROI for each site. However, my budget was not being spent because the sites it chose did not get enough visitors.

What I really want to calculate for each website is a value of Profit Per Minute. How do I approach this?

Also, this should be a rolling time series as the set of data changes every second.

Thank you.