A dry cleaner uses exponential smoothing to forecast equipment usage at its main plant. August usage was forecasted to be $46$ percent of capacity; actual usage was $52$ percent of capacity. A smoothing constant of $10$ is used.

a$.$ Prepare a forecast for September. $($Round your final answer to $2$ decimal places.$)$

Answer is complete and correct.

$46\mathrm{.}60vv\{\begin{array}{ccc}\text{:}[& \text{p}\text{e}\text{r}\text{c}\text{e}\text{n}\text{t}of& ]\\ & \text{c}\text{a}\text{p}\text{a}\text{c}\text{i}\text{t}\text{y}& \end{array}$

b$.$ Assuming actual September usage of $53$ percent, prepare a forecast for October usage. $($Round your answer to $2$ decimal places.$)$

Answer is not complete.

Forecast for October

percent of capacity