Question

A cloud computing facility operates four server clusters—Alpha, Beta, Gamma, and Delta—each processing data tasks at a constant rate while consuming electrical energy. Following a infrastructure optimization, each cluster undergoes modifications to its task processing rate and energy consumption:

- Cluster Alpha: Originally processes $12,000\text{ tasks/hr}$ using $60\text{ kWh}$ of energy. After optimization, its task processing rate increases by $25\%$ while its energy consumption decreases by $20\%$.
- Cluster Beta: Originally processes $16,000\text{ tasks/hr}$ using $80\text{ kWh}$ of energy. After optimization, its task processing rate increases by $15\%$ while its energy consumption decreases by $8\%$.
- Cluster Gamma: Originally processes $20,000\text{ tasks/hr}$ using $100\text{ kWh}$ of energy. After optimization, its task processing rate increases by $8\%$ while its energy consumption decreases by $10\%$.
- Cluster Delta: Originally processes $25,000\text{ tasks/hr}$ using $125\text{ kWh}$ of energy. After optimization, its task processing rate increases by $12\%$ while its energy consumption decreases by $20\%$.

Match each server cluster to its corresponding post-optimization efficiency metrics (new task processing rate and energy efficiency ratio in tasks per kWh).