A college intramural four-man basketball team is trying to choose its starting line-up from a six-man roster so as to maximize total height over 5'6". The roster follows: Player A - ALEX B - BRYAN D- DAVE E - EDGAR Position C- CHARLES Forward F - FRANK Center Center Forward Guard Guard Height in inches over 5' 6" 10 9 6 -1 The starting line-up must satisfy the following constraints: (i) At least one center should start. (ii) Either Alex or Frank must be held in reserve, but not both. (iii) Only one guard must start. (iv) If Charles starts, then Edgar cannot start.

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A college intramural four-man basketball team is trying to choose its starting line-up
from a six-man roster so as to maximize total height over 5'6". The roster follows:
Player
A - ALEX
B - BRYAN
D - DAVE
E - EDGAR
Position
C- CHARLES Forward
F - FRANK
Center
Center
Forward
Guard
Guard
Height in inches
over 5' 6"
10
9
6
6
4
-1
The starting line-up must satisfy the following constraints: (i) At least one center
should start. (ii) Either Alex or Frank must be held in reserve, but not both. (iii) Only
one guard must start. (iv) If Charles starts, then Edgar cannot start.
Transcribed Image Text:A college intramural four-man basketball team is trying to choose its starting line-up from a six-man roster so as to maximize total height over 5'6". The roster follows: Player A - ALEX B - BRYAN D - DAVE E - EDGAR Position C- CHARLES Forward F - FRANK Center Center Forward Guard Guard Height in inches over 5' 6" 10 9 6 6 4 -1 The starting line-up must satisfy the following constraints: (i) At least one center should start. (ii) Either Alex or Frank must be held in reserve, but not both. (iii) Only one guard must start. (iv) If Charles starts, then Edgar cannot start.
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