本社の10部署に合計50台のPCがあり,表計算ソフトが50ライセンスと各部署に最低1冊,すなわち合計10冊以上のマニュアルを必要としている。表に示す条件の場合,最も安く購入できる組合せはどれか。
| ライセンスの種類 | 価格(円/ライセンス) | マニュアル |
|---|---|---|
| 1ライセンス | 15,000 | 1冊無料で付属 |
| 10ライセンスパック | 13,000 | 1冊無料で付属(追加の場合1冊5,000円) |
| 20ライセンスパック | 12,000 | 1冊無料で付属(追加の場合1冊5,000円) |
This question's explanation and your answers so far.
本社の10部署に合計50台のPCがあり,表計算ソフトが50ライセンスと各部署に最低1冊,すなわち合計10冊以上のマニュアルを必要としている。表に示す条件の場合,最も安く購入できる組合せはどれか。
| ライセンスの種類 | 価格(円/ライセンス) | マニュアル |
|---|---|---|
| 1ライセンス | 15,000 | 1冊無料で付属 |
| 10ライセンスパック | 13,000 | 1冊無料で付属(追加の場合1冊5,000円) |
| 20ライセンスパック | 12,000 | 1冊無料で付属(追加の場合1冊5,000円) |
Five 10-license packs do meet the 50 licenses, but their unit price of 13,000 yen is higher than the 12,000 yen of the 20-license pack. Only 5 free manuals come with them, so the missing 5 must be bought at 5,000 yen each, making the total 650,000+25,000=675,000 yen, the highest of all choices and not the cheapest.
One 20-license pack and three 10-license packs do meet the 50 licenses, but the free manuals total only 4, so the missing 6 must be bought at 5,000 yen each. The total is 240,000+390,000+30,000=660,000 yen, higher than エ's 630,000 yen.
Two 20-license packs and one 10-license pack meet the 50 licenses, and the license cost alone is 610,000 yen, the lowest. But there are only 3 free manuals, so the missing 7 must be bought at 5,000 yen each, adding 35,000 yen, for a total of 645,000 yen, higher than エ.
正解 The required conditions are “50 licenses” and “10 or more manuals,” and among the combinations that meet both, you pick the one with the lowest total cost. The price in the table is per single license, so a 10-license pack costs 13,000×10=130,000 yen/pack and a 20-license pack costs 12,000×20=240,000 yen/pack. Calculating each choice gives ア=675,000 yen, イ=660,000 yen, ウ=645,000 yen, エ=630,000 yen. Choice エ secures 50 licenses in total with two 20-license packs (480,000 yen) and ten single licenses (150,000 yen), and since each single license comes with one free manual, the manuals total 2+10=12, meeting the “10 or more” requirement without any additional purchase. Therefore エ, at the lowest total of 630,000 yen, is correct. It is tempting to fill the order with only the cheapest-per-unit 20-license pack, but the key point is that whether you can avoid buying extra manuals (5,000 yen each) is what determines the total cost.