Neco 2018 Data Processing Question 1

Company X processes 2,000 GB of data each year. It can choose between two encryption options.\n\nOption A: AES with a baseline key length of \(128\) bits. The baseline processing time per transaction is 100 ms. For every additional 8 bits of key length, processing time increases by \(0.3\%\) and the annual licensing fee rises by ₦0.02 per GB.\n\nOption B: Triple DES with a fixed key length of 168 bits. Its processing time per transaction is 130 ms and the licensing fee is ₦0.01 per GB per year.\n\nCompany policy requires that the processing‑time increase relative to the AES baseline must not exceed \(5\%\) and that the total annual licensing cost must not exceed \(5{,}000\) ₦.\n\nWhich option satisfies both constraints, and what key length (in bits) should be used for that option?