The functions \(p\cdot q\) denotes \(p + q\) and the function \(\max(p, q)\) denotes the maximum value of \(p\) and

[Gmat_mission]

The functions \(p\cdot q\) denotes \(p + q\) and the function \(\max(p, q)\) denotes the maximum value of \(p\) and \(q.\) For example, \(1\cdot 2= 1+2=3\) and \(\max(1, 2) =2.\) What is the value of \(2\cdot \max(p, q)?\)

I. \(\max(5, p) = 6\)
II. \(\max(3, q) = 3\)

Answer: C

Source: e-GMAT