Question

a project has the activity duration and cost information indicated in the table where all times are in weeks. there is a penalty of $5,000 per week for every week the project extends beyond 45 weeks. what is the lowest total cost for completing this project?

Answer 1

Finishing this job could cost as low as $222,000 in total. If the project is finished in 45 weeks, the final cost will be $400,000. If the project is completed in 46 weeks, the overall cost will be $405,000. The project is finished in 45 weeks, which has the lowest overall cost.

This project can be finished for as little as $222,000 overall. This is so that there is no penalty if the project is finished in 45 weeks. A $5,000 fine is imposed if the project is finished in less than 46 weeks. Thus, completing the project in 45 weeks results in the lowest overall cost. Examining the costs associated with each action is one method to approach this. The first activity will cost $40,000 to complete. The second activity will cost $60,000 to complete. The third activity will set you back $80,000. The fourth action will set you back $100,000. The sixth activity will set you back $120,000. The project will cost $400,000 in total. The overall cost, if the project takes 45 weeks to complete, is $400,000. The whole expense is $405,000 if the project is finished in 46 weeks. Thus, completing the project in 45 weeks results in the lowest overall cost.

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