Convert Numbers.app spreadsheet to JSON document?

Is there a way to export a Numbers.app spreadsheet as a JSON formatted file? I know I can do it manually but this will be used as data input to an iOS app and I'd like to have an automated way to do this to reduce errors.

Here's an image of the rough spreadsheet:

I don't believe that you can directly convert a Numbers document to JSON. However, you can export a Numbers document to any number of formats, shown below.

There are a bunch of converters for CSV->JSON. I found two online converters from a quick Google search: Convert CSV and Mr. Data Converter.

This is not an ideal solution if you have a lot of these documents to convert, but I am sure that it will be easier to find effective CSV->JSON converters than Numbers->JSON converters.