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

Quarter

HD$-240$

$1$

$5,200$

$2$

$7,280$

$3$

$8,320$

$4$

$10,400$

The January $1,2022,$ inventory of HD$-240$ is $2,080$ 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 $2022.$