Section 2 -- Modeling Exercies

(1)
Product 1 2
Price $10 $20
Cost $5 $9
---------------------
Quan A B

Possible Objective Functions:
Max 10A + 20B -- maximize revenue
Min 5A + 9B -- minimize cost
Max (10-5)A + (20-9)B -- maximize profit


(2)
Variables: A,B,C -- number of students in group A, B, and C.

All groups of equal size
A - B = 0
B - C = 0
Note: A - C = 0 is redundant


#student in group A should be no more than half #students in group B
A <= 1/2 B

#student in group A and B should differ by at most 2
A - B <= 2
B - A <= 2
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