You would like to construct an aggregate production plan for product X341 for the next four quarters.
Cost of regular production = 60 $/u
Cost of overtime production = 90 $/u
Inventory holding cost = 10 $/u/qtr
Cost of increasing production = 70 $/u
Cost of decreasing production = 120 $/u
Subcontracting cost = 115 $/u
Stockout cost = 130 $/u
Previous quarter's regular output = 600 u
Beginning inventory level = 120 u
The forecasted demand for the next four quarters are: 500, 1000, 400, and 1200 units.
Suppose that you want to set the quarterly regular production constant at 680 units and to use overtime if necessary. You do not want to use any subcontract. Furthermore, you will keep inventory as low as possible. Stockouts are not allowed.
You must perform the calculation and answer the questions shown below.

The beginning inventory in quarter 2 is ____________ units.

The overtime production in quarter 4 is _____________units.

Total regular production is _______________units.

Total overtime production is _____________units.

Total regular production cost is $________________

Total cost of increasing regular production is $_______________

Total cost of decreasing regular production is $________________

Total cost of holding inventory is $___________________

Total cost of overtime production is $__________________

Total cost of production is $____________________