(iii) [1 mark] Suppose p = 1 . What is the minimum number of students that must enter school (this is N, not k) in order to make going to school an optimal decision for a child? Call this N, . We need 16(1 + 1) 2 -> k> 12 Which gives k>64. But k=pN=N, so N1=64. (If you write N1 = 65 arguing from k>64, that is fine)