Right now is 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 $=65$ $$/$unit

Cost of overtime production $=97$ $$/$u

Inventory holding cost $=5$ $$/$u$/$qtr

Cost of increasing regular production $=80$ $$/$u

Cost of decreasing regular production $=90$ $$/$u

The regular production in Quarter $4$ of $2020=901$ u

The inventory a the beginning of Quarter $1$ of $2021$ is estimated to be $80$ U

The forecasted demand for the four quarters of $2021$ are: $1,119,904,1196,$ and $823$ units.

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

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

be avoided.

the total cost of the chase production strategy is $\_\_\_\_\_\_\_\_$ dollars