First, convert BEM and crew items into moment index.
Better approach: Use (common in EASA performance). Let’s verify: Moment_BEM = Index × 10,000 = 1,124,000. Then arm_BEM = Moment / Mass = 1,124,000 / 34,560 ≈ 32.5 m — plausible. Good. easa atpl question bank
Given complexity, the : Use loading table with given “index units” where 1 IU = 1000 kg·m. Then BEM moment = 112.4 × 1000 = 112,400 kg·m. Crew moment = 410 × 142 = 58,220 → total moment = 170,620 kg·m → DOI = 170,620 / 1000 = 170.6 — wrong. So not /1000. First, convert BEM and crew items into moment index
? No — wrong; Index is not average.
Wait — option a says DOI = 114.8 → difference = 2.4. That means Crew index = 2.4. Then 2.4 = (410 × 142) / CF → CF = (410 × 142) / 2.4 ≈ 24,258. So CF = 24,258. Then BEM index = (34,560 × arm_BEM) / 24,258 = 112.4 → arm_BEM = (112.4 × 24,258) / 34,560 ≈ 78.9 m — plausible. Then arm_BEM = Moment / Mass = 1,124,000 / 34,560 ≈ 32
Total DOI = BEM index + Crew Index = 112.4 + 5.8 = ? That doesn’t match any option — contradiction.
