PLease help show steps and explanation

1. A manager must decide which type of machine to buy, A, B, or C. Machine costs are as follows: Product forecasts and processing times on the machines are as follows: PROCESSING TIME PER UNIT {minutes} Annual Product Demand A 1 13,000 3 2 2 14,000 4 3 3 3,000 5 4 4 32,000 2 1 a. Assume that only purchasing costs are being considered. Which machine would have the lowest total cost, and how many of that machine would be needed? Machines operate 10 hours a day, 250 days a year. b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $10 each, B machines have an hourly operating cost of $11 each, and C machines have an hourly operating cost of 512 each. Which alternative would be selected, and how many machines, in order to minimize total cost while satisfying capacity processing requirements