Part $1$: Determine Process Lead Time $($PLT$)$Aidan is a division manager at Beaded Stream $($temperature data loggers$).$ He has been tasked with standardizing and optimizing the workflow across the production process. There are five different tasks to complete one cable and a data logger$.$ Each logger and cable is considered to be a system. Design the cable to meet customer requirements, assemble the data logger and cable, bench test system, program system based on the location it will be used, test, and validate in a controlled environment.After speaking with the team Aidan has found the different sections responsible for the tasks are unaware of how many systems they are working on$,$ nor do they know what their process is$.$Customers have started to complain that they are getting inconsistent information on delivery time, long lead times, and some quality defects. He has determined he needs to get control of the process; after working through a Black Belt project to remove the waste and optimize the process, all he has left is to determine the optimal WIP to streamline throughput and get the products to the customers as fast as possible with accurate reporting.Aidan has asked each section to report how many systems they are currently working on$.$ In addition, he has reviewed the production log $($data collection$)$ to determine how many systems they are completing per day. Here are the results.$-$ Design the system $=20-$ Assemble the system $=30-$ Bench test the system $=10-$ They are completing a total of $10$ systems per day.A few other notes of importance to the Beaded Stream process based on their swimlane map. They work five days a week, $8-$hour shifts. $(40$ hours per week$)$Part $2$: Determine the Process Cycle Efficiency $($PCE$)$Now that Aidan has the PLT$,$ he needs to understand what the current PCE is$.$ With his team, he reviewed the swimlane and value stream maps that were created during the project and completed the following assessment for the amount of time spent doing something beneficial to the customer's requirements:$-$ Design the system $=\mathrm{.}7$ hours$-$ Assemble the system $=2$ hours$-$ Bench test the system $=\mathrm{.}5$ hours$-$ Program the system $=3$ hours$-$ Validate the system $=\mathrm{.}4$ hoursWrite a short summary or out$-$brief of this project $($discribing how you solved the math portion$).$ What would you report to the management to explain what was found and what needs to be adjusted?