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# The LICI man basketball team is trying to choose it's starting line - up from their roster for their first came on the 2019 Asia Pacific University...

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1 . The LICI man basketball team is trying to choose it's starting line - up from their roster for their
first came on the 2019 Asia Pacific University Basketball Challenge so as to maximize average
height . The roster follows !
Player
Number | Height| Position*
JC Buller
6'5 '
Forward
Devin Cole
I
5'1 1'
Guard
Max Hazzard
2
Guard
Robert Cartwright
E
Guard
Aiden Krause
Guard
Jonathan Galloway*
5
6'10 '
\Forward
John Edgar JI
1 1
Forward
Evan Leonard
14
Guard
Darrian Traylor*
73
Guard*
Evassu Worku
24
Guard
Spencer Rivers
25
Guard
Solomon Ruddell
35
7'1 &quot;'
Center
Collin Welp
40
Forward
Tommy Rutherford
42
\Forward
Elston Jones
50
Forward
5.5
6'10 '
Center*
For the starting line - up , either Jonathan Galloway , Collin Welp or Brad Greene can be included ;&quot;
also , only one center might start ; and finally if John Edgar IT. or Robert Cartwright starts , then Brad
Greene cannot start . Take those requirements into account to ,
a ) Help Coach Turner to determine the optimal starting line - up if the classical two guards , two
Forwards , and one center is selected .*
b ) Would that optimal line - up change if three guards , one forward , and one center is selected
C ) What about it at most one center , but otherwise any combination of positions is allowable ?
For each of the cases , specify the respective integer program , the solution and it's interpretation .
Note : I foot = 12 inches . Also it is easier you consider height as &quot;difference to 6 feet &quot; to build the
objective function .

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