In a cloud-based application architecture, a company is considering migrating its existing monolithic application to a serverless computing model. The application currently handles an average of 100,000 requests per day, with peak usage reaching 10,000 requests per hour. The company anticipates that by adopting serverless computing, they will reduce operational costs by only paying for the compute time consumed during execution. If the average execution time of a function is 200 milliseconds and the serverless provider charges $0.00001667 per GB-second, how much would the company expect to pay for a month of serverless computing, assuming the function uses 512 MB of memory?