An aggregate plan is being developed for the next three periods using the transportation method of aggregate planning. You start the period with 500 units in inventory. Other necessary information is provided in the table below. You need to schedule for any overtime to be worked before the aggregate planning period begins. How much overtime is to be worked in each of the three periods (1.2 and 3, respectively) if you follow the lowest cost plan? 500 units Initial Units Regular Over-Sub- inventory Period needed Time time contract Regular time cost $50/unit 1 2000 2000 550 1000 Overtime cost $60/unit N 2000 2000 500 1000 Subcontracting $70/unit cost $5 3 3100 2000 500 1000 Carrying cost \/unit/period 550/unit Icost 1 2000 2000 550 1000 Overtime cost $60/unit 2 2000 2000 500 1000 Subcontracting $70/unit cost 3 $5 3100 2000 500 1000 Carrying cost /unit/period No back ordering is allowed O 0,0,0 O 0.0.600 O 500, 100, 500 1 2000 2000 550 1000 Overtime cost $60/unit 12 2000 2000 500 1000 Subcontracting $70/unit cost $5 13 3100 2000 500 1000 Carrying cost /unit/period No back ordering is allowed O 0,00 O 0, 0,600 500, 100, 500 O 0, 100, 500 O None of the other answers are correct