The Union Manufacturing Company is producing two types of products: A and B. The demand forecasts, batch size, and time standards follow: Product A Product B Demand forecast (units/yr) 1,000 4,000 Batch size (units/batch) 20 10 Processing time (hr/unit) 3.2 4.5 Setup time (hr/batch) 10 20 Both products are produced on the same machine, called Mark I. The company works 250 days per year and operates two shifts, each covering 8 hours. A 15 percent capacity cushion is maintained. How many Mark I machines are required to produce Union Manufacturing's for the year's production?