Question

Как рассчитать среднюю цену, если известно, что за смену пилится 6 м. куб. Цена первого сорта - 500 руб. за 1 куб. м., цена второго - 350 руб. в среднем за смену пилят 5 куб. м. первого сорта, а второго сорта1 кую. м.

Answer 1

5*500 = 2500 руб. за первый сорт
1*350 = 350 руб. за второй сорт
2500+350 = 2850 руб. за смену
2850 : 6 = 475 руб. за куб.м средняя цена

Answer 2

Calculating the Average Price for the Shift

To calculate the average price for the shift, we can use the following steps:

1. Calculate the total revenue for each type of wood. 2. Determine the total volume of wood for each type. 3. Divide the total revenue by the total volume to find the average price per cubic meter for each type. 4. Calculate the weighted average price based on the volume of each type of wood.

Let's go through these steps:

1. Calculate the Total Revenue for Each Type of Wood: - For the first grade wood: 6 cubic meters * 500 rubles per cubic meter = 3000 rubles - For the second grade wood: 5 cubic meters * 350 rubles per cubic meter = 1750 rubles

2. Determine the Total Volume of Wood for Each Type: - Total volume for the first grade wood: 6 cubic meters - Total volume for the second grade wood: 5 cubic meters

3. Calculate the Average Price per Cubic Meter for Each Type: - Average price for the first grade wood: Total revenue / Total volume = 3000 rubles / 6 cubic meters = 500 rubles per cubic meter - Average price for the second grade wood: Total revenue / Total volume = 1750 rubles / 5 cubic meters = 350 rubles per cubic meter

4. Calculate the Weighted Average Price: - Weighted average price = (Total revenue for first grade wood + Total revenue for second grade wood) / (Total volume for first grade wood + Total volume for second grade wood) - Weighted average price = (3000 rubles + 1750 rubles) / (6 cubic meters + 5 cubic meters) = 4750 rubles / 11 cubic meters ≈ 431.82 rubles per cubic meter

Therefore, the weighted average price for the shift is approximately 431.82 rubles per cubic meter.

This calculation takes into account the different prices and volumes of the two grades of wood to provide an accurate average price for the shift.