The computations for the whole period appear in the table below. Perform the calculations for the firm's August income.

$($Round your responses to two decimal places.$)$

Month

Income $($$$000\text{'}$s$)$

Unadjusted Forecast $($F$+)$

Trend $($T$.)$

Adjusted Forecast $($FITt$)$

February

March

$90\mathrm{.}0$

$91\mathrm{.}5$

$85\mathrm{.}00$

$85\mathrm{.}50$

$0\mathrm{.}0$

$85\mathrm{.}00$

$0\mathrm{.}40$

$85\mathrm{.}90$

April $96\mathrm{.}0$

$86\mathrm{.}46$

$0\mathrm{.}85$

$87\mathrm{.}31$

May

$85\mathrm{.}4$

$88\mathrm{.}18$

$1\mathrm{.}55$

$89\mathrm{.}73$

June $92\mathrm{.}2$

$89\mathrm{.}30$

$1\mathrm{.}21$

$90\mathrm{.}51$

July $96\mathrm{.}0$

$90\mathrm{.}68$

$1\mathrm{.}35$

$92\mathrm{.}03$

The mean squared error $($MSE$)$ is the average of the squared differences between the forecasted and observed values.

$($Forecast errors$)?$

MSE $=$

n

Compute the MSE for the forecast developed using trend$-$adjusted exponential smoothing.

$($Round your response to two decimal places.$)$

MSE

$($thousand dollars$)?$