We have 3 airports: San Francisco (SFO), Denver (DIA), and St. Louis (STL), and two flight-legs (resources): SFO-DIA and DIA-STL. We want to sell 3 itineraries (products): SFO-DIA, DIA-STL, and SFO-DIA-STL. Suppose you are in time period t in the booking window. Assume that we have at most one product request in every time period. A part of the value function for time period t + 1 has been computed and given in the following table.

Remaining capacity for DIA-STL

	0	1	2	3
0	0	600	900	1000
1	300	700	1000	1300
2	400	800	1100	1300
3	500	850	1100	1300

Remaining capacity for SFO-DIA

For example, if the remaining capacity on flight leg SFO-DIA is 2 and the remaining capacity on flight leg DIA-STL is 1, then the value of the value function at time period t+ 1 is Vt+1([2, 1]) = 800.

(a) Assume that the remaining capacity on flight leg SFO-DIA is 1 and the remaining capacity on flight leg DIA-STL is 2 at time period t. Suppose we get a request for a SFO-DIA flight for $150. Is it optimal to accept a this request? Why?

(b) Assume that the remaining capacity on flight leg SFO-DIA is 2 and the remaining capacity on flight leg DIA-STL is 3 at time period t. Is it optimal to accept a request for a SFO-DIA-STL itinerary for $275 at time period t? Why?