the normal work load of the members of an operation, maintenance and repair group is forty hours per week. it employs 75 persons. and each is scheduled for two weeks vacation per year. what is the total amount of time worked by this group in a year?

75 * 40 * 50 = ________ hours

There are 75 employees, and they all get 2 weeks off per year, so total weeks off for everyone is:

75*2 = 150 weeks

Now:
1 year = 52.18 weeks

The total weeks that all 75 employees work without the 2 week vacation is:

75*52.18 = 3913.5

Total week - vacation week=net working week:
3913.5 - 150 = 3763.5

Now multiply net working week with hours worked per week:

3763.5*40 = 150540

To find the total amount of time worked by the operation, maintenance, and repair group in a year, we can use the following steps:

1. Calculate the total hours worked by each person in a year, excluding vacation time:
Weekly workload = 40 hours
Vacation time per year = 2 weeks
Total working weeks per year = 52 weeks - 2 vacation weeks = 50 weeks
Total hours worked per person per year = Weekly workload * Total working weeks per year

2. Calculate the total hours worked by the entire group in a year:
Total number of persons = 75
Total hours worked by the group in a year = Total hours worked per person per year * Total number of persons

Let's do the calculations:

1. Total hours worked per person per year:
Weekly workload = 40 hours
Total working weeks per year = 50 weeks
Total hours worked per person per year = 40 hours/week * 50 weeks = 2000 hours

2. Total hours worked by the group in a year:
Total number of persons = 75
Total hours worked by the group in a year = 2000 hours/person * 75 persons = 150,000 hours

Therefore, the total amount of time worked by this operation, maintenance, and repair group in a year is 150,000 hours.