Neco 2022 Data Processing Question 18

A household is comparing three smartphone models (A, B and C) using weighted criteria. The attributes and their values are: \(\text{Price (\,\text{₦})}\): A = 50,000; B = 45,000; C = 55,000. \(\text{Battery life (hours)}\): A = 20; B = 18; C = 22. \(\text{Storage (GB)}\): A = 64; B = 128; C = 32. The decision‑making weights are: price 0.4 (lower price is better), battery life 0.35 (higher is better) and storage 0.25 (higher is better). For each attribute, compute a normalized score between 0 and 1 using the formula \(S = \frac{\text{max} - \text{value}}{\text{max} - \text{min}}\) for price and \(S = \frac{\text{value} - \text{min}}{\text{max} - \text{min}}\) for battery and storage. Then calculate the overall utility \(U = 0.4S_{price}+0.35S_{battery}+0.25S_{storage}\). Which phone model should be chosen based on the highest utility?