A contractor is to install 200,000 sf of decking on a project. The contractor’s intent was to use a workforce to install 250 sf of decking in 1 hour. In an 8-hr. day, the crew could install 2,000 sf of decking. And the work could be completed in 100 days (200,000/2,000). Before the work begins, the contractor decided to shorten the work duration to less than 100-day. What will be the new project duration, if the contractor decides to increase the workforce by 10% and work 9-hour a day?
Total quality to install, Q=200,000sf
Original workforce out put=250sf/hour
when the workforce increased by 10 per cent, new workforce output,r= (250*110)/100=275sf/hour
New number of hours working in a day=9hours
New output per day=new workforce output*New number of hours working in a day
=275*9=2475sf/day
the new project duration =Total quality to install/New output per day
=200,000sf/2475sf/day=80.8days=80days7hours and 12 minutes.
the new project duration is 80days7hours and 12 minutes, approximately 81 days.
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