Given the following information, formulate the aggregate production planning gives the total cost of 124,730. Demand forecast Capacity (maximum) Regular Overtime Part time Beginning inventory Costs Regular time Over time Part time Inventory holding cost Back order cost 550 500 50 120 100 Machine 700 500 50 120 750 500 50 100 $60 per unit $80 per unit $90 per unit $1 per unit per month. $3 per unit per month. Suppose that regular-time capacity in month 3 will be reduced to 440 units to accommodate a company wide safety inspection of equipment. What will the additional cost of the optimal plan be as compared to the total cost of the plan given above. Assume all input data are the same as given except for the regular-time capacity in month 3. Additional cost of the optimal plan $