Question
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 56.
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 56. The roster follows:
Player | Position | Height in inches over 5 6 |
A - ALEX | Center | 10 |
B - BRYAN | Center | 9 |
C - CHARLES | Forward | 6 |
D - DAVE | Forward | 6 |
E - EDGAR | Guard | 4 |
F - FRANK | Guard | -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. (iii) Only one guard must start. (iv) If Charles starts, then Edgar cannot start.
1. Which represents constraint (i)
Choices:
a. NIC (not in choices)
b. A <= B
c. A+ F =1
d. E <= F
e. Bryan, Dave, Edgar, Frank
f. A + B = 1
g. C + E <=1
h. Alex, Bryan, Dave, Edgar
i. A + F <= 1
j. A + B > = 1
k. E + F = 1
l. Bryan, Charles, Edgar , Frank
m. C + E = 1
n. C <= E
o. E + F <= 1
2. Which represents constrain (ii)
Choices:
a. NIC (not in choices)
b. A <= B
c. A+ F =1
d. E <= F
e. Bryan, Dave, Edgar, Frank
f. A + B = 1
g. C + E <=1
h. Alex, Bryan, Dave, Edgar
i. A + F <= 1
j. A + B > = 1
k. E + F = 1
l. Bryan, Charles, Edgar , Frank
m. C + E = 1
n. C <= E
o. E + F <= 1
3. Which represents contraint (iii)
Choices:
a. NIC (not in choices)
b. A <= B
c. A+ F =1
d. E <= F
e. Bryan, Dave, Edgar, Frank
f. A + B = 1
g. C + E <=1
h. Alex, Bryan, Dave, Edgar
i. A + F <= 1
j. A + B > = 1
k. E + F = 1
l. Bryan, Charles, Edgar , Frank
m. C + E = 1
n. C <= E
o. E + F <= 1
4. Which represents constrain ( iv)
Choices:
a. NIC (not in choices)
b. A <= B
c. A+ F =1
d. E <= F
e. Bryan, Dave, Edgar, Frank
f. A + B = 1
g. C + E <=1
h. Alex, Bryan, Dave, Edgar
i. A + F <= 1
j. A + B > = 1
k. E + F = 1
l. Bryan, Charles, Edgar , Frank
m. C + E = 1
n. C <= E
o. E + F <= 1
5. Players in the starting line-up
Choices:
a. NIC (not in choices)
b. A <= B
c. A+ F =1
d. E <= F
e. Bryan, Dave, Edgar, Frank
f. A + B = 1
g. C + E <=1
h. Alex, Bryan, Dave, Edgar
i. A + F <= 1
j. A + B > = 1
k. E + F = 1
l. Bryan, Charles, Edgar , Frank
m. C + E = 1
n. C <= E
o. E + F <= 1
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