Right now is August 1,2021. You would like to construct an aggregate production plan for product DX45 for Quarter 1 of 2022 and beyone Cost of regular production =60$/u. Cost of overtime production =90$/u. Inventory holding cost =4$/u/qt. Cost of increasing regular production =20$/u. Cost of decreasing regular production = 30$/u. The regular production in Quarter 4 of 2021 is 1,500 u. The inventory a the beginning of Quarter 1 of 2022 is estimated to be 160u. The forecasted demand for Quarter 1 of 2022 through Quarter 2 of 2023 are: 1,300, 1,600,1.100, 2,300, 1,400, and 2.500 units. You want to use the level production strategy and add overtime production when necessary. However, you will keep inventory as low as possible but shortage must be avoided. You must decide the size of the regular production on your own. What is the total cost of your level strategy? You must show the calculation of the cost of regular-time production, the cost of overtime production, the cost of carrying inventory. the cost of increasing regular production, and the cost of decreasing regular production