Question

В отчетном году среднесписочная численность рабочих цеха была 20 человек.На предстоящий год планируется увеличить объем работ на 32 %, производительность увеличится на 10%.определите численность рабочих на планируемый год.

Answer 1

Решение:
На предстоящий год  планируется объем работ увеличить в 1,32 раза. Если производительность останется прежней, то количество рабочих тоже увеличится в 1,32 раза: 20*1,32 = 26,4.
Но производительность увеличилась в 1,1 раза, значит, количество рабочих нужно в 1,1 раза меньше:  26,4/1,1=24.

Answer 2

Calculation of the Number of Workers for the Planned Year

To determine the number of workers for the planned year, we need to consider the increase in the volume of work and the increase in productivity.

Given information: - Average number of workers in the previous year: 20 - Planned increase in the volume of work: 32% - Planned increase in productivity: 10%

To calculate the number of workers for the planned year, we can use the following formula:

Number of workers = (Volume of work * Productivity) / Productivity per worker

Let's calculate each component step by step.

1. Calculate the volume of work for the planned year: - The volume of work for the planned year is expected to increase by 32% compared to the previous year. - We can calculate the volume of work by multiplying the previous year's volume by (1 + 32%): - Volume of work = Previous year's volume * (1 + 32%)

2. Calculate the productivity for the planned year: - The productivity for the planned year is expected to increase by 10% compared to the previous year. - We can calculate the productivity by multiplying the previous year's productivity by (1 + 10%): - Productivity = Previous year's productivity * (1 + 10%)

3. Calculate the productivity per worker: - The productivity per worker can be calculated by dividing the total productivity by the average number of workers in the previous year: - Productivity per worker = Productivity / Average number of workers in the previous year

4. Finally, calculate the number of workers for the planned year: - Number of workers = (Volume of work * Productivity) / Productivity per worker

Let's perform the calculations using the given information:

1. Calculate the volume of work for the planned year: - Volume of work = Previous year's volume * (1 + 32%) -: The average number of workers in the previous year was 20.

2. Calculate the productivity for the planned year: - Productivity = Previous year's productivity * (1 + 10%)

3. Calculate the productivity per worker: - Productivity per worker = Productivity / Average number of workers in the previous year

4. Calculate the number of workers for the planned year: - Number of workers = (Volume of work * Productivity) / Productivity per worker

Please provide the values for the previous year's volume and productivity so that we can proceed with the calculations.