A company must decide which type of machine to buy, and how many units of that type, given the following information. Type of Machine Cost per machine 1 $15,000 2 $22,000 Product demand and processing times for the equipment are: Product Annual Demand Processing Time Required if Type 1 is used (minutes) Processing Time Required if Type 2 is used (minutes) A 14,000 56,000 84,000 B 12,000 108,000 108,000 C 19,000 95,000 57,000 a. How many machines of each type would be required to handle demand if the machine will operate 8 hours a day, 250 days a year (keep 3 decimal places)? b. What annual capacity cushion in processing time would result for each type? c. If purchasing and operating costs are taken into account, which type of machines would minimize total costs, given your answer for part a? Operating costs are $6/hr for type 1 and $5/hr for type 2