Would be better to see your viz and/or dataset but you could try creating a calculated field that looks like:
IF [Start Date] < [End Date] then [Acreage] END
Use this as your size measurement.
Maybe others come up with a best idea but as far as i can see, in order to do this your data source would need one record for each day a farm had participated into a program.
I don't think it's worth. Maybe you can have a data source to do it without connect any other info.
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The calculation I gave you above worked for me. I chose continuous Month for Start date on pages. Of course, this is with my dataset. Give it a shot.
I'll give it a shot and let you know - thanks for the idea!