Sunland Company produces and sells automobile batteries, the heavy$-$duty HD$-240.$ The $2022$ sales forecast is as follows.

$\backslash$table$[[$Quarter$,,$HD$-240],[1,,5,800],[2,,8,120],[3,,9,280],[4,,11,600]]$

The January $1,2022,$ inventory of HD$-240$ is $2,320$ units. Management desires an ending inventory each quarter equal to $40\%$ of the next quarter's sales. Sales in the first quarter of $2023$ are expected to be $25\%$ higher than sales in the same quarter in $2022.$

Prepare quarterly production budgets for each quarter and in total for $2022.$