Liberty, Inc. manufactures a line of flags. The annual demand for its flag display is estimated to be 100,000 units. The annual cost of carrying one unit in inventory is $1.60, and the cost to initiate a production run is $50. There are no flag displays on hand but Liberty had scheduled 60 equal production runs of the display sets for the coming year, the first of which is to be run immediately. Liberty has 250 business days per year. Assume that sales occur uniformly throughout the year and that production is instantaneous. 1. If Liberty does not maintain a safety stock, the estimated total carrying cost for the flag displays for the coming year is $ 2. The estimated total setup cost for the flag displays for the coming year is 3. If Liberty were to schedule 30 equal production runs of the flag display for the coming year, instead of 60 equal runs, the sum of carrying costs and setup costs for the coming year would increase (decrease) by 4. The number of production runs per year of the flag displays that would minimize the sum of carrying costs and setup costs for the coming year is runs. 5. A safety stock of a 3-day supply of flag displays would increase Liberty's planned average inventory in units by units