Note: A solution without detailed explanation/calculation will get no more than 1 point out of 100.

Problem 5. A manager must decide which type of machine to buy, A, B, or C. Machine costs are as follows: Machine Cost A $40,000 B $30,000 $80,000 Product forecasts and processing times on the machines are as follows: Product 1 2 3 4 N PROCCESSING TIME PER UNIT (minutes) A B 3 4 2 4 4 3 5 6 4 2 2 1 Annual Demand 16,000 12,000 6,000 30,000 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 $12 each. Which alternative would be selected, and how many machines, in order to minimize total cost while satisfying capacity processing requirements? Machines operate 10 hours a day, 250 days a year