What is the profit for the flow of one plane along the arc "SEA $10$AM$"$ to "POR $11$AM$"?($enter in the unit of thousands of dollars$)$

$20,000$

IncorrectQuestion $4$

$0/1$ pts

What should be the capacity of the flow along the arc "SEA $10$AM$"$ to "POR $11$AM$"?$ If it can be any large number, enter $1000.$

$1,000$

IncorrectQuestion $5$

$0/1$ pts

What is the profit for the flow of one plane along the arc "SFO $8$PM$"$ to "POR $8$AM$"?($enter in the unit of thousands of dollars$)$

$3,000$

IncorrectQuestion $6$

$0/1$ pts

What should be the capacity of the flow along the arc "SFO $8$PM$"$ to "POR $8$AM$"?$ If it can be any large number, enter $1000.$

$1$

IncorrectQuestion $7$

$0/1$ pts

Now solve the problem as a network problem. What is the optimal profit the firm can obtain? $($enter in the unit of thousands of dollars$)$

$1,275,000$

Question $8$

$1/1$ pts

Which of the following flights end up to be unscheduled?

POR $12$PM $-->$ SEA $1$PM

SFO $11$AM $-->$ SEA $1$PM

SFO $5$PM $-->$ SEA $7$PM

SEA $8$AM $-->$ SFO $10$AM

IncorrectQuestion $9$

$0/1$ pts

How many flights are optimally scheduled?

$17$

IncorrectQuestion $10$

$0/1$ pts

How many airplanes turn out to be optimally used? $($Hint: to take account of planes used, look at a specific time of the day $($e$.$g$.12$ midnight$)$ and look at all the planes passing through the arcs that correspond to that time.$)$

$11$

IncorrectQuestion $11$

$0/1$ pts

Now, add the limitation that the airline has only $3$ planes on lease right now. What would be the new optimal profit? $($enter in the unit of thousands of dollars$)$

$259,000$

IncorrectQuestion $12$

$0/1$ pts

Bonus question: Now going back to question $7,$ consider the more realistic assumption that there is a minimum turnaround time of $1$ hour on the ground for unloading and cleaning each airplane before it is ready to fly for another flight. Assume that each of the three airports in the three cities can provide services to the airplanes by $9$pm if needed, as the unloading for flights that arrive at $8$pm might take one more hour. What is now the optimal number of airplanes that need to be leased?

$[$You would not see the bonus point applied right after the deadline, but it would be added later.$]$