Consider the airline problem with 2 classes. The price for Class 1 seats is $200 and the price for Class 2 seats is $100. Suppose that the PDFs for the independent demand random variables are given by $D_1 \sim U[0, 4]$ and $D_2 \sim U[0, 4]$.
(a) If there are $N = 5$ seats, determine $N_1$ and $N_2$.
(b) Consider a small $\Delta$ above 5 seats (that is, $N = 5 + \Delta$). How much of the $\Delta$ will be allocated to Class 1?