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A project is budgeted for 2400 hours and will last 3 weeks. Technicians will cover 25% of the project in the first week and 60% in the final two weeks. If each technician normally works 40 hours per week, how many technicians are there?

Answer :

Final answer:

The project requires 15 technicians for the first week and 18 technicians for the final two weeks to be completed as per the given schedule.

Explanation:

The project has a total project timeline of 2400 hours spread over 3 weeks. In the first week, technicians cover 25% of this work, which amounts to 600 hours (2400 * 0.25). In the final two weeks, they cover 60% of the work, which equals 1440 hours (2400 * 0.6).

If each technician normally works for 40 hours in a week, then the total number of technician hours for the first week is 600 / 40 = 15 technicians. For the final two weeks, where each week has 40 hours, we have a total of 80 hours available per technician. The 1440 hours would then require 1440 / 80 = 18 technicians.

So, the project requires 15 technicians for the first week and 18 technicians for the final two weeks to be completed on the planned schedule.

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