I have a solitary eggplant that has several fruit growing (picture below). It's not terribly tall, in part because of the more successful squash nearby, but my soil is very good quality (amended with 3" of mushroom compost this year).
How many eggplants should I let it grow at once? Should I let all of them develop, or cut most of them off? Is the plant even big enough to allow it to make any fruit?
Its extremely difficult to tell much from your pictures - it would be good if they showed the height - but from what little I can see, there are way too many flowers on the tree (although it looks quite healthy).
Commercially we would let to stems grow, with 2 fruit per stem at a time.
I believe you will get a better yield if you greatly reduce the number of flowers - at minimum get rid of all except for 1 flower for each clump (it looks to me like you have clumps of flowers).
If your plant is only 50cm or so in height, I'd be surprised if you wanted it to have more then 3 fruit growing at once. (more fruit puts more stress on the plant, as well as slower growth/yield)
