The football coaching at Bussie-Karni District focuses its recruiting on several key towns, including Bulli, Hapaa, Jirapa, Koro, Bussie, and Nandom. The staff includes seven assistant coaches, two of whom are responsible for Hapaa, whereas one coach is assigned to each of the other five towns. The staff has been together for a long time, and at one time or another all the coaches have recruited in all the towns. 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 Table 3. The head coach wants to assign these assistant coaches to these towns in such a way that the overall success rate will be

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Chapter2: Second-order Linear Odes
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The football coaching at Bussie-Karni District focuses its recruiting on several
key towns, including Bulli, Hapaa, Jirapa, Koro, Bussie, and Nandom. The staff
includes seven assistant coaches, two of whom are responsible for Hapaa,
whereas one coach is assigned to each of the other five towns. The staff has
been together for a long time, and at one time or another all the coaches have
recruited in all the towns. 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 Table 3. The head coach wants to assign these assistant
coaches to these towns in such a way that the overall success rate will be
maximized.
Assignment of Coaches to towns
Town
Нараа Jirapa
Coach
Bulli
Koro
Bussie
Nando
Kwesi
62
56
65
71
55
63
Kojo
65
70
63
81
75
72
5
Kobinah
46
53
62
55
64
50
Kwaku
58
66
70
67
71
49
Yaw
77
73
69
80
80
74
Kofi
68
73
72
80
78
57
Kwame
72
60
74
72
62
61
(a) Establish the decision variables for this problem
(b) Draw a network diagram for the problem
(c) Formulate a linear programming mathematical model for solving the
problem.
Transcribed Image Text:Question The football coaching at Bussie-Karni District focuses its recruiting on several key towns, including Bulli, Hapaa, Jirapa, Koro, Bussie, and Nandom. The staff includes seven assistant coaches, two of whom are responsible for Hapaa, whereas one coach is assigned to each of the other five towns. The staff has been together for a long time, and at one time or another all the coaches have recruited in all the towns. 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 Table 3. The head coach wants to assign these assistant coaches to these towns in such a way that the overall success rate will be maximized. Assignment of Coaches to towns Town Нараа Jirapa Coach Bulli Koro Bussie Nando Kwesi 62 56 65 71 55 63 Kojo 65 70 63 81 75 72 5 Kobinah 46 53 62 55 64 50 Kwaku 58 66 70 67 71 49 Yaw 77 73 69 80 80 74 Kofi 68 73 72 80 78 57 Kwame 72 60 74 72 62 61 (a) Establish the decision variables for this problem (b) Draw a network diagram for the problem (c) Formulate a linear programming mathematical model for solving the problem.
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