Unit $4$ Case Study: Employee Training A payroll software firm has implemented a training program for new employees, who will be providing in person service to their clients. The trainees undergo a product knowledge test periodically during their training period. The average percentage score on this test, P$($t$),$ as function of time, t in weeks of training, is given by the following logistic growth function: P$($t$)=(100)/(1+9$e$^(-0\mathrm{.}5$t$))$ A minimum score of $85\%$ is expected before an employee can be considered to have completed their training and capable of providing service to clients.