An engineering system has been subjected to a sudden An engineering system has been subjected to a sudden disruption which reduced it's

functionality to $50\%.$ The time for natural recovery $(t_d-t_n)$ is $12$ days and the natural recovery

could bring back the performance to only $70\%.$ The recovery function for natural recovery is

represented by the dashed line in the figure below. Adaptation measures can be undertaken to

bring back the performance to a $100\%$ in the same time, the recovery profile in this scenario is

represented by the solid line. Calculate the performance loss in case of both natural recovery and

adaptive recovery for the given time period.

$P(t)$

Note: Refer to this article to familiarize yourself with all the terms before solving the problem.

Please make sure all calculations are provided.disruption which reduced it's

functionality to $50\%.$ The time for natural recovery $(t_d-t_n)$ is $12$ days and the natural recovery

could bring back the performance to only $70\%.$ The recovery function for natural recovery is

represented by the dashed line in the figure below. Adaptation measures can be undertaken to

bring back the performance to $100\%$ in the same time, the recovery profile in this scenario is

represented by the solid line. Calculate the performance loss in case of both natural recovery and

Note: Refer to this article to familiarize yourself with all the terms before solving the problem.

Please make sure all calculations are provided.