$4\mathrm{.}4$ A check$-$processing center uses exponential smooth$-$

ing to forecast the number of incoming checks each month. The

number of checks received in June was $40$ million, while the fore$-$

cast was $42$ million. A smoothing constant of $\mathrm{.}2$ is used.

a$)$ What is the forecast for July?

b$)$ If the center received $45$ million checks in July, what would be

the forecast for August?

c$)$ Why might this be an inappropriate forecasting method for

this situation? $P{x}_{x}4\mathrm{.}4$ A check$-$processing center uses exponential smooth$-$

ing to forecast the number of incoming checks each month. The

number of checks received in June was $40$ million, while the fore$-$

cast was $42$ million. A smoothing constant of $\mathrm{.}2$ is used.

a$)$ What is the forecast for July?

b$)$ If the center received $45$ million checks in July, what would be

the forecast for August?

c$)$ Why might this be an inappropriate forecasting method for

this situation? $P{x}_x$