Civil Engineering PE

Category - Scheduling

Using the three-point estimate technique, what is the estimated time to complete a project based on the following scenario?

Kyle has been appointed to draw up a cost estimate for a new project. He interviews one of the engineers, Steve, who tells Kyle his assigned task will take 3 weeks. Upon being questioned, Steve changes his estimated completion time to 7.5 weeks. Kyle thinks a realistic estimate is 4.5 weeks.
  1. 3 weeks
  2. 4.75 weeks
  3. 5 weeks
  4. 7.5 weeks
Explanation
Answer: B - Based on the three-point estimate technique, the estimated time to complete the project is 4.75 weeks.

Solution: Use the three-point estimate (E) equation to determine how many weeks it will take to complete the project

E = (a + 4m + b)/6

Where a = the best-case estimate = Steve’s first estimate = 3 weeks
m = the most likely estimate = 4.5 weeks
b = the worst case estimate = Steve’s worst case estimate = 7.5 weeks

Therefore,

E = [(3 weeks) + 4 (4.5 weeks) + (7.5 weeks)] / 6
= (3 + 18 + 7.5) / 6
= 4.75 weeks
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