What do you like best?
The product is new. Cloud Foundry is a brilliant new solution to new things, IBM of course, doesn't make these things. It just implements them.
What do you dislike?
IBM cancelled my account without telling me why. Their service sucks. It has all the same reasons why people hate IBM. If I can't get good service on my free account, that doesn't bode well for the paid account being better.
Recommendations to others considering the product
Use something else. Bluemix is, at best, unreliable and at worst actively tries to cause downtime. It deactivated my account, without explanation or warning, and took down a good number of apps that we were using with it. This is actively causing harm. It's not bad support, it's actively causing harm.
If you use bluemix, you shouldn't use it for anything you need to ensure works. Unless IBM is basically running it all for you, don't use it.
What business problems are you solving with the product? What benefits have you realized?
I use it for non mission critical applications. I do not think the service and support is reliable enough to use it long term.
The frontend also takes forever to load. Heroku is much better, faster and easier.
Also they did not delete my personal account from Heroku, which bluemix did because... I am not entirely certain why.
They also deactivated my business account, even though I was using it for business applications. When I realized that happened, it became clear that this is not a service anyone should use for anything that you need to ensure works.