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You are managing a design project. - The initial estimate of work hours required was 3,860. - You have 4 engineers assigned to the project full time (8 hours per day, 5 days per week) and one engineer assigned to the project half-time (4 hours per day, 5 days per week). - Each engineers work in charged to the project at $ 30 per hour. - At the end of 13 weeks, 65% of the design work has been completed at a cost of $62,000. What would the duration (week) of the project be based on the original estimate of work hours?

Answer :

The duration of a design project can be calculated based on the original estimate of work hours and the progress made so far.

How can the duration of the project be calculated based on the given information?

Based on the given information, 65% of the design work has been completed at a cost of $62,000. This means that the actual cost of the work completed is 65% of the total estimated cost, or 0.65 * 3860 * 30 = $75,270.

To calculate the remaining cost of the project, we subtract the cost of the work completed from the estimated cost: 3860 * 30 - 75,270 = $34,530.

To estimate the remaining duration of the project, we can divide the remaining work (in hours) by the amount of work that can be completed in a week by the team. The team consists of 4 engineers working full-time (8 hours per day, 5 days per week) and one engineer working half-time (4 hours per day, 5 days per week), for a total of 4 * 8 + 0.5 * 4 * 8 = 36 hours per day or 180 hours per week.

The remaining work is 34,530 / 30 = 1,151 hours. Dividing this by 180 hours per week gives us approximately 6.4 weeks, or 7 weeks rounded up.

Therefore, based on the original estimate of 3,860 work hours and the progress made so far, the duration of the project is estimated to be 13 + 7 = 20 weeks.

Learn more about project management and cost estimation.

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