An objective function Z = 6x + 2y has its maximum value at points (2, p) and (q, 7). If p + q = 15, what is the value of p and q? 

1
p = 11.5, q = 3.5
2
p = 9, q = 6 
3
p = q = 7.5 
4
p = 12, q = 3
5
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