The company management is considering the performance of two forecasting methods proposed by the demand analyst team $($Method A and Method B$).$ The table below shows the actual demand data and the forecasting results given by both methods.

Period Demand Forecasting Result $($unit$)$

Actual $($unit$)$ Method A Method B

$110810698$

$2115108100$

$3110110112$

$4114112114$

$5109114112$

$6112116100$

$7120118111$

$811812098$

a$.$ Compare the performance of forecasting methods A and B using the criteria that you think are appropriate. Explain your answer, especially on the aspects of criteria selection and comparison results.

b$.$ Propose a time series forecasting method $($along with its parameters$)$ that can provide better performance than methods A and B$.$ Use the same performance evaluation criteria that you chose in a$.$