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Have you suggested R?

I thought R was for statistics and not for mass balance equations. Graphing does seem plausible, that's sometimes what she does at the end.

EDIT: Even if she got it installed she'd have to the whole team to install it as well because they share data by emailing the spreadsheets.

R is for stats and data analysis in general. Should be able to do the same numeric computation that Excel can do.

If there is not a hard requirement for the data to be on-site, have you seen Google BigQuery and Fusion Tables?