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 $=65$ $$/$unitCost of overtime production $=97$ $$/$uInventory holding cost $=5$ $$/$u$/$qtrCost of increasing regular production $=80$ $$/$uCost of decreasing regular production $=90$ $$/$uThe regular production in Quarter $4$ of $2020=901$ uThe inventory a the beginning of Quarter $1$ of $2021$ is estimated to be $80$ UThe 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