Answer :
Using the percentage and hours, the total number of technician that was there is 42.
How to find the number of technicians that are there?
The project is budgeted for 2400 hours and will last 3 weeks.
This means the whole project will last for 2400 hours for 3 weeks.
Technicians will cover 25% of the project for the first week and then 60% for the final two weeks.
This simply implies 25% of the project will be completed in the first week. Then 60% of the remainder of the project will be completed the final two weeks.
Each technician normally works 40 hours per week.
Therefore,
Number of hours for the first week = 25 % of 2400
Number of hours for the first week = 25 / 100 × 2400
Number of hours for the first week = 600 hours
Therefore,
number of technicians for the first week = 600 / 40
number of technicians for the first week = 15 technicians
Therefore,
Number of hours for the final two week = 60 % of (2400 - 600)
Number of hours for the final two week = 60 / 100 × 1800
Number of hours for the final two week = 1080 hours
Hence,
number of technicians for the final two week = 1080 / 40
number of technicians for the final two week = 27 technicians
Therefore, the total number of technician that was there is 42.
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Final answer:
The total project demands 2040 work hours. Given that each technician works 120 hours over the 3 weeks, a total of 17 technicians are required to complete the project.
Explanation:
The project is budgeted for 2400 hours and will last 3 weeks. Technicians will cover 25% of the project in the first week and 60% of the project in the last two weeks. From this information, we understand that the project will require: 25% of 2400 hours in the first week (which is 600 hours) and 60% of 2400 hours for the following two weeks (which is 1440 hours), which added together gives a total of 2040 hours for the entire project duration.
Now, considering each technician works 40 hours per week, for 3 weeks, one technician can work a total of 40*3 = 120 hours. Therefore, to find out the total number of technicians required for this project, we would divide the total hours needed (2040 hours) by the amount each technician can work in total (120 hours).
The calculation would look like this: 2040 hours ÷ 120 hours = 17 technicians.
Therefore, a total of 17 technicians are needed for the project.
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