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.
`E=(O+4M+P)/6`
Which of the following correctly gives P in terms of E, O, and M ?

Options

A. P = 6E − O − 4M
B. P = −6E + O + 4M
C. `P=(O+4M+E)/6`
D. `P=(O+4M-E)/6`

Explanation

To express P in terms of E, O, and M from the given formula \( E = \frac{O + 4M + P}{6} \), we can follow these steps:

### Step 1: Start with the original formula
The original formula is:
\[ E = \frac{O + 4M + P}{6} \]

### Step 2: Multiply both sides by 6
To eliminate the fraction, multiply both sides of the equation by 6:
\[ 6E = O + 4M + P \]

### Step 3: Rearrange the equation to solve for P
Now, isolate P on one side of the equation. To do this, subtract \( O \) and \( 4M \) from both sides:
\[ P = 6E - O - 4M \]

### Final Expression
Thus, the expression for P in terms of E, O, and M is:
\[ P = 6E - O - 4M \]

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