Joes's produces two products on a particular type of machine. The demand for Product A is 3,954 units per year while the demand for Product B is 3,367 units per year. It takes the machine 30 minutes to produce a unit of Product A and 20 minutes to product a unit of Product B. It takes 38 minutes to set up the machine to produce a batch of Product A and 78 to set up the machine to produce a batch of product B. The lot size for Product A is 134 units and the lot size for Product B is 76 units. The machine operates one 10 hour shift per day five days per week 49 weeks per year with no capacity cushion. 

How many machines are needed to produce these products each year?