三つのサブシステム A,B,C のテスト期間と要員数が次のとおりであるとき,テスト期間中に要員数の合計が最大となる月の要員は何名か。
| サブシステム | テスト期間 | 要員数 |
|---|---|---|
| A | 4月~6月 | 常時1名 |
| B | 5月~7月 | 常時2名 |
| C | 7月~8月 | 常時3名 |
This question's explanation and your answers so far.
三つのサブシステム A,B,C のテスト期間と要員数が次のとおりであるとき,テスト期間中に要員数の合計が最大となる月の要員は何名か。
| サブシステム | テスト期間 | 要員数 |
|---|---|---|
| A | 4月~6月 | 常時1名 |
| B | 5月~7月 | 常時2名 |
| C | 7月~8月 | 常時3名 |
“3” is the total for May or June (A+B = 3) or for August (C = 3), not the value of the month with the maximum. The question asks for the number of staff in the month where the total is largest, so this is incorrect.
There is no month whose total is “4”. The monthly totals are 1, 3, 3, 5, and 3; the value 4 never appears, so this is incorrect.
正解 For each month, add up the number of staff for the subsystems being tested in that month. Adding A (Apr–Jun, 1 person), B (May–Jul, 2 persons), and C (Jul–Aug, 3 persons) month by month gives: April = 1, May = 3 (A+B), June = 3 (A+B), July = 5 (B+C), August = 3. The total reaches its maximum in July, where B and C overlap, giving 2 + 3 = 5 persons. Therefore the correct answer is ウ, “5”.
“6” would be the value if all three of A, B, and C were running at the same time (1+2+3), but A ends in June and C starts in July, so the three never overlap in the same month. Therefore the maximum is at most 5 persons, making this incorrect.