A$$ cheque$-$processing centre uses exponential smoothing to forecast the number of incoming cheques each month. The number of cheques received in June was $42$million$,$ while the forecast was $42$ million. A smoothing constant of $0\mathrm{.}25$ is used.

Part $2$

$$a$)$ Using exponential smoothingLOADING... and given alpha$,$ the forecast for the month of Julyequals

$$

$42$ million cheques received. $($Round your response to one decimal$$ place.$)$

Part $3$

$$b$)$ If the$$ cheque$-$processing centre received $46$ million cheques in the month of$$ July, then using exponential smoothing and given alpha$,$ the forecast for the month of Augustequals

$$

enter your response here million cheques received. $($Round your response to one decimal$$ place.$)$