August $1,2020.$ You would like to construct an aggregate production plan for product PX$27$ for the four quarters of $2021.$

Cost of regular production $=65\frac{\text{\$}}{u}.$

Cost of overtime production $=97\frac{\text{\$}}{u}.$

Inventory holding cost $=5\frac{\text{\$}}{u}\frac{?}{qtr}.$

Cost of increasing regular production $=80\frac{\text{\$}}{u}.$

Cost of decreasing regular production $=90\frac{\text{\$}}{u}.$

The regular production in Quarter $4$ of $2020$ is $1,425u.$

The inventory a the beginning of Quarter $1$ of $2021$ is estimated to be $64u.$

The forecasted demand for the four quarters of $2021$ are: $1,087,1,316,1,051,$ and $1,278$ units.

You want to use the level production strategy with overtime production.

Furthermore, you will keep inventory as low as possible but stockouts $($shortages$)$ must be avoided.

Suppose you keep the quarterly regular production constant at $959$ units and add overtime production if necessary.

You must perform the needed calculation and answer the question shown below.

NOTE: Do not use any comma in your answers.

The total cost of overtime production is dollars.