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What is the Dollar Value for a task that requires 40 man days for 80 working days please ?

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Anonymous
Cost Estimation
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Aaron Porter
Community Champion
IT Director| Blade HQ Payson, UT, United States
What are the assumptions?
- # of workers
- hourly rate for each worker
- either hours worked, per worker, or average hours worked per day, per worker

How does something require 40 man days for 80 working days? Are you saying that this is one person performing 40 days of work across 80 days? If this is the case, once you know the hourly or daily rate, you can answer the question. 40 x the rate, if I understand the question correctly.
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Sante Delle-Vergini, PhD Senior Project Manager| Infosys Melbourne, Victoria, Australia
Aaron hit the right points. You are asking a dollar value question, and not including crucial variables, not least being the dollar rate per hour for example. And I suspect if you can state the hourly rate, you (or your calculator) can multiply said rate with what appears to be 25,600 hours, if I understand your "40 man days for 80 working days" to be 40 resources per day, on an 8 hour shift, over 80 days.
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Vincent Guerard Coach - Trainer - Speaker - Advisor| Freelance Mont-Royal, Quebec, Canada
Are all people at the same hourly rate?
40 people’s are likely not all doing the same salary.
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Julie Chan Mississauga, Ontario, Canada
My apologies - too eager to ask the question and forgot the assumption. All hands are at the same rate of $100 per hour and one day is 8 hours. It is a 40 MAN DAY (or person day) task and the effort is estimated to be at 80 WORK DAYs
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Julie Chan Mississauga, Ontario, Canada
Hi Aaron and Sante - my calculation is as follows and I would like to confirm my understanding is correct. 40 Man day = 40 / 8 = 5 resources; 5 resources for 80 work days = 5*80 = 400 work days
400 work days = 400* 8 hours = 3200 hours
So the dollar value is 3200*100 =$320,000
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1 reply by Wolf Tombe
Oct 26, 2017 1:46 PM
Wolf Tombe
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Other considerations might be overtime rates and/or shift differential pay for evening or midnight shifts.
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Sante Delle-Vergini, PhD Senior Project Manager| Infosys Melbourne, Victoria, Australia
Hi Julie, if what you are saying is 5 resources, every day (8 hours a day), then yes $320,000. I think I understand what you meant by "40 man day", you mean 5 resources, 8 hours a day, so I think you may call this 40 man hours instead of 40 man days.
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Br. Ts. PUI CHEE KHIAN PMP®, PMI-RMP®, PMI-SP, CCPM (CIDB), MBA, MPM® CPE, FAAPM, FCILG, MPMI, | CPE, FAAPM, FCILG, MPMI, MMSSA, MMIM, AMIVMM, CM(ACPM) Kuching, Sarawak, Malaysia
This is an assumption related question. My answer will be $32,000 as value of work done.

Task duration : 40 man-days (A task that requires 40 man-days as input effort to complete)
Rate: $80 per man-day (I assume the 80 working days in this question as $80 per man-day which is the rate rather than repeating the task duration). I am assuming $80 per man-day is reasonable rate in this question. The said question is not lack of details.
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Stéphane Parent Self Employed / Semi-retired| Leader Maker Prince Edward Island, Canada
To me, a 40 person-day task represents the effort. Yet you state that the effort is 80 work days. (To me it looks more like the duration). So what does the 40 person-day represent, if it is not the effort?

If I assume that the 80 work days is only the duration, it is not relevant to resolving the problem.

Effort = 40 person-days
Hourly Rate = $100/person-hour
Work Day = 8 person-hours/person-day

From these we get

Daily Rate = Hourly Rate X Work Day = $100/person-hour X 8 person-hours/person-day = $800/person-day

Cost = Effort X Daily Rate = 40 persons-days X $800/person-days = $32,000

(You will notice that the use of appropriate units resolves correctly in the equations. That is often a big clue as to how to calculate your result.)
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SHIRISH KARNIK Project Manager| Al Watanyiah United Engg & Contracting Co LLC Bangalore, Karnataka, India
My understanding it should be "Man-day ". So either 40 men work 1 day or 1 man works 40 days. Cost should be USD 800 *40=USD 32,000/-.
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Anonymous
The wording of the quote is "40 man days capped at 80 work days" - One day is 8 hours and all hands are at $100 per hour. The person who wrote the quote left.

We have consulted a few PMs and the answer ranges anywhere from $25,600 to $320,000. Some of us think the 80 work days is a factor in the calculation. And of course each PM tells me his /her answer is the right one. This has become a very interesting subject.

From the web I found the definition of man day as 5 people complete a task in 1 day is 5 man days; 5 people completing the task in 2 days means 10 man days. Then 5 people complete a task in 8 days is 40 man days. 40 man days will cost 40*8*100 = $32,000

However the quote is for 80 days which is 10 times of the 8 days above, so the cost seems be $320,000.

I have tried to search unsuccessfully for the definition of man day in two project management books - fast forward project management and the blue book for the PMP exam. Is there a book or article that explains man days in detail please ? Thank you everyone for responding. Learning something new everyday is exciting.
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