Graduated Symbols Class-Limit Question

[AgEngineer92]

Hello there everyone, so I have ran into an issue, and am not sure what the next steps might be. I am currently working with an ArcGIS Map that is using 10,700 (give or take a few) points. Each point is a farm, and I have attached (joined) statistical data from excel to give it a measurable amount of manure that is produced on each farm. I am able to symbolize this amount through the "Symbology" option, which is limited to 100 classes if I do Natural Breaks and other options. I am able to symbolize a maximum of 1,000 classes if I go by defined interval, but I am needing the following: 

Each location to be assigned it's own, site-specific, class and size of the associated symbol. I need each farm to have its own unique size, and not be stuck with others in a "class" if that makes sense. Basically, I need Unique Values, but that are symbolized by a graduated symbol.

Here is a picture of the map, for an example, and a screenshot of my Symbology page, to hopefully make sense of my ramblings. Thanks for any and all your help, I really appreciate it. 

Sincerely,

AgEngineer92

[Robert_LeClair]

So if I'm understand correctly, you want unique values for the farms.  That can be accomplished by the Unique Values Primary Symbology workflows.  Then you can vary the size of the farm unique symbols by going to the top and click the 2nd from the left symbol "vary symbology by attribute".  In this UI, is transparency, rotation, color, and size.  If you're data is numeric, then this will work.  Choose the numeric value to define size.  From there you can choose normalization, whether to classify data, the method and more.  Is this what you're trying to do?