The finishing work on a building project was to be completed by an ideally sized crew of five workers in $45$ days $(40-$hour workweeks$).$ To accelerate the work, it was decided that the crew size would be increased to eight workers and that a second eight$-$worker crew would be added to the project. In addition, all workers were scheduled to work $60-$hour workweeks $(10$ hours per day from Monday through Saturday$).$ Assume workers are paid $$18$ per hour.

a$.$ What is the expected duration of the project with the suggested changes?

b$.$ What is the cost of the acceleration in terms of labor cost alone?