The formula below is often used by project managers to compute, E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time P = 6E - O - 4M.
Given, that E is the estimated time to complete a job.
O is the shortest completion time.
P is the longest completion time.
And, M is the most likely completion time.
The equation given, E = (O + 4M + P)/6
By balancing the equation, multiplying both sides by 6 we get
or, 6E = O + 4M + P
Now, subtracting O + 4M from both sides, we get
P = 6E - O - 4M.
Therefore, we get P in terms of P = 6E - O - 4M.
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