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 $=65$ $$/$u$.$ Cost of overtime production $=97$ $$/$u$.$ 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 $2020$ is $1,408$ u$.$The inventory a the beginning of Quarter $1$ of $2021$ is estimated to be $77$ u$.$The forecasted demand for the four quarters of $2021$ are: $1,163,1,333,1,052,$ and $1,215$ 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 $1,084$ units and add overtime production if necessary. You must perform the needed calculation and answer the question shown below. The total cost of overtime production is $\_\_\_\_\_\_\_\_\_\_\_\_$ dollars.