Question

Предприниматель купил здание и собирается открыть в нем отель. В отеле могут быть стандартные номера площадью 27 м^2 и номера люкс площадью 45 м^2. Общая площадь, которую модно отвести под номера, составляет 981 м^2. Предприниматель может поделить эту площадь между номерами различных типов, как хочет. Обычный номер будет приносить отелю 2000 рублей в сутки, а номер люкс - 4000 рублей в сутки. Какую наибольшую сумму денег сможет заработать в сутки на своем отеле предприниматель? P.S. у меня получилось 36000. Правильно или нет?

Answer 1

Да, ты правильно решил всё

Answer 2

Calculation of the Maximum Daily Earnings

To calculate the maximum daily earnings that the entrepreneur can make from the hotel, we need to determine the number of standard rooms and luxury rooms that can be accommodated in the given total area of 981 m^2.

Let's assume that the entrepreneur allocates x m^2 for standard rooms and y m^2 for luxury rooms.

The area of a standard room is 27 m^2, and the area of a luxury room is 45 m^2.

Therefore, the number of standard rooms that can be accommodated is x / 27, and the number of luxury rooms that can be accommodated is y / 45.

The total number of rooms can be calculated by adding the number of standard rooms and the number of luxury rooms.

The total area equation can be expressed as:

x + y = 981

To maximize the earnings, the entrepreneur should allocate the maximum area for luxury rooms since they generate more revenue per day.

Let's assume that the entrepreneur allocates the entire area for luxury rooms (y = 981) and no area for standard rooms (x = 0).

The maximum number of luxury rooms that can be accommodated is 981 / 45 = 21.8 (rounded down to 21).

Therefore, the maximum daily earnings can be calculated as follows:

Earnings from luxury rooms = Number of luxury rooms * Revenue per luxury room per day = 21 * 4000 = 84,000 rubles

Hence, the maximum sum of money the entrepreneur can earn in a day from the hotel is 84,000 rubles.

Please note that the calculation assumes that the entrepreneur can allocate the entire area for luxury rooms and no area for standard rooms. This may not be the most practical or optimal allocation, but it provides the maximum potential earnings based on the given information.