You offer employees 3 weeks paid vacation out of 52 weeks per year. Based on employee feedback, you'd like to offer 4 weeks. If you now have 100 employees, and productivity does not change, how many employees would you need to add to maintain your same level of production and give the extra vacation? (Round up to the nearest worker.)

2

Explanation:

Current work time per year = 100 workers x (52-2) weeks = 5,000 worker-weeks.

To maintain production, we need 5,000 worker - weeks = W workers x (52-3) weeks with the new vacation.

W = 5,000 / (52-3) = 102 workers.

3 workers

Explanation:

you currently have 100 employees that work during 49 weeks per year (= 52 weeks - 3 vacation weeks), that gives you a total of 4,900 work weeks.

since you want to offer your employees one additional week (4 in total), you must replace 100 work weeks with extra employees:

100 work weeks / 48 weeks per worker = 2.083 ≈ 3 workers, if you hire them full time.

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explanation:

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