Neco 2021 Data Processing Question 36

A data processing system handles a batch of \(500\) records in blocks of \(100\). The Input step takes \(2\) minutes per \(100\) records. Validation takes \(1.5\) minutes per \(100\) records and can begin as soon as the first \(20\) records of that block have been input. Processing takes \(3\) minutes per \(100\) records and starts only after validation of that block is complete. Storage takes \(0.5\) minutes per \(100\) records and can start immediately after processing of the block. Output takes \(1\) minute per \(100\) records and starts only after all storage for the batch is finished. Assuming each step processes whole blocks sequentially as described, what is the total time, in minutes, from the start of input to the completion of output?