A sporting goods manufacturer makes two types of soccer ball, a professional standard ball (on which they make $4 profit) and a college standard ball (which generates $5 in profit).Constraints affecting production are the production capacities within three separate departments; Cutting/Dyeing, Sewing, Inspection/Packaging.Each professional ball requires 12 minutes of cutting and dyeing, 9 minutes of sewing, and 6 minutes of inspection and packaging.Each college ball requires 6 minutes of cutting and dyeing, 15 minutes of sewing, and 6 minutes of inspection and packaging.The monthly capacity for the 3 departments is as follows; Cutting/Dyeing 340 hours, Sewing 420 hours, Inspection/Packaging 200 hours.How many of each type of ball should the manufacturer produce per month in order to maximize profit?

Which of the following correctly graphs the linear program above?

4000 A 40 00 3500 3500 3000 3000 2500 2500 College (Units) 2000 2000 1500 1500 1000 1000 500 500 2000 2500 5000 3500 500 1000 1500 2000 2500 5000 3500 500 1000 1500 Professional (Units) Professional (Units) 4000 4000 C D 3500 3500 5000 3000 2500 2500 College (Units) 2000 2000 1500 1500 1000 1000 500 500 3500 500 1000 1500 2000 2500 3000 3500 500 1000 1500 2000 2500 3000 Professional (Units) Professional (Units)