A company is providing a service that$$s very human$-$resource$-$intensive. They$$ve noticed that the number of units of product they$$re able to produce depends critically on the number of employees on the payroll. In the past, they$$ve attempted to maintain an average workforce of $1400$ employees. However, achieving that target has never been easy. After all, they$$re experiencing $200\%$ annual turnover. Now they$$re wondering if $1400$ is the right number. To begin this analysis, they collect data on hiring and termination and combine that information with monthly production. The data collected appear in the table below: