Part A$.($Chapter $9$: Forecasting$)$: A recent college graduate was hired by a whole foods store as an operations planner. The owner of the store thought Kale should be forecasted using a smoothing value of $0\mathrm{.}13,$ while the Operations manager felt a smoothing value of $0\mathrm{.}25$ would be better. Using F$1=172$ and the Kale demand below, which of the two managers is right and why?

$***$ Tip: an Excel file template is available under the CONTENT tab that you can use to enter the information and solve the question. Use the template to determine the forecast values and forecast errors using the three Forecast Error models presented in Chapter $9$ to guide your choice. See Exhibit $9\mathrm{.}8$ on page $186$ for an example.

$\backslash$table$[[$Week$,$Demand$],[1,168],[2,149],[3,157],[4,135],[5,177],[6,155],[7,146],[8,150],[9,182],[10,167],[11,148],[12,163],[13,157],[14,189]]$