The football coaching staff at Tech focuses its recruiting on several key states, including Georgia, Florida, Virginia, Pennsylvania, New York, and New Jersey. The staff includes seven assistant coaches, two of whom are responsible for Florida, a high school talent-rich state, whereas one coach is assigned to each of the other five states. The staff has been together for a long time, and at one time or another all the coaches have recruited in all the states. The head coach has accumulated some data on the past success rate (i.e., percentage of targeted recruits signed) for each coach in each state, as shown in the following table:

State Coach GA FL VA PA NY NJ Allen 62 56 65 71 55 63 Bush 65 70 63 81 75 72 Crumb 46 53 62 55 64 50 Doyle 58 66 70 67 71 49 Evans 77 73 69 80 80 74 Fouch 68 73 72 80 78 57 Goins 72 60 74 72 62 61 Determine the optimal assignment of coaches to recruiting regions that will maximize the overall success rate and indicate the average percentage success rate for the staff with this assignment. LO.1