I presume you're talking about hardware budget. You probably wouldn't get very far with such a low budget, but I think your question is how to get the most bang for your buck. The answer is with dedicated hardware, especially for computationally expensive apps. $500/month dedicated hardware will beat the pants off of $500/month of EC2 instances for example, but it comes with the cost of being less flexible.
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I presume you're talking about hardware budget. You probably wouldn't get very far with such a low budget, but I think your question is how to get the most bang for your buck. The answer is with dedicated hardware, especially for computationally expensive apps. $500/month dedicated hardware will beat the pants off of $500/month of EC2 instances for example, but it comes with the cost of being less flexible.