Neco 2018 Data Processing Question 36

An online backup plan requires storing 120 GB of data. Two cloud services are available: - Service A charges $0.02 per GB for the first 50 GB and $0.015 per GB for any additional storage. - Service B charges a flat fee of $5 for up to 30 GB and then $0.01 per GB for each GB beyond 30 GB. Before uploading, the data can be compressed by one of two algorithms: - Algorithm X reduces the data size by \(30\%\) and costs $0.005 per original GB processed. - Algorithm Y reduces the data size by \(45\%\) and costs $0.009 per original GB processed. All compressed data must be stored entirely on one of the services (a file cannot be split). Determine the minimum total monthly cost (compression + storage) and indicate which compression algorithm should be used.