$1.(40$ points$)$ A project manager ascertained that five different resources are needed to complete a project that has been estimated to last $37$ days. Just to be on the safe side, the project manager told the client that the project would definitely be delivered in $40$ days and forty nights and arranged to rent the resources for that period of time. The project manager goes to the local rental center at the start of Day $1$ of the project, signs a $40-$day lease agreement for all five resources, and brings them to the site to begin the project.

Analyze the Gantt chart and resource list and determine how much money is being wasted with this rental plan.

If each resource could be rented for just the time it takes to complete each activity, what would the correct charge to the project be$?$