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28 Oct 2023, 11:31
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SkySoarer Airlines currently offers flights with service to a total of five cities: Abron, Bionia, Cordell, Dewark, and Epster. In the diagram, circles represent the five cities. Each line connecting two circles is a flight line that represents all the direct flights currently offered between the two corresponding cities, each of which is called a terminus for all flights represented by the line. Flights are offered in both directions for each flight line in the diagram, and all flights currently offered by SkySoarer are represented in the diagram. The label for each flight line shows the duration, in minutes, of each of the flights between the two cities the line connects, followed by the average annual revenue, in millions of dollars, generated by all SkySoarer flights between the two cities.
If a direct flight is not available between a passenger's departure city and destination city, SkySoarer passengers may take a sequence of flights to arrive at their destination. The total flight time for such a trip is the sum of the durations of all flights on the trip.
If a direct flight is not available between a passenger's departure city and destination city, SkySoarer passengers may take a sequence of flights to arrive at their destination. The total flight time for such a trip is the sum of the durations of all flights on the trip.
Line AD: No
Line BE: No
Line DE: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
53% (03:00) correct
47%
(02:51)
wrong
based on 2351
sessions
History
Date
Time
Result
Not Attempted Yet
1. SkySoarer has decided its new flight line should have a projected annual revenue of more than $20 million. The implementation of the line should also make it possible to travel between any two of the currently serviced cities by taking at most two flights. For each of the following proposed new lines, if, based on the information provided, the line satisfies these requirements, select Yes. Otherwise, select No.
| Yes | No | |
| Line AD | ||
| Line BE | ||
| Line DE |
ShowHide Answer
Official Answer
Line AD: No
Line BE: No
Line DE: Yes
Line AD: Yes
Line AE: Yes
Line BE: No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
36% (02:32) correct
64%
(02:03)
wrong
based on 2165
sessions
History
Date
Time
Result
Not Attempted Yet
2. For each of the following proposed new flight lines, select Yes if, based on the information provided, implementing the line would increase the total annual revenue generated by all SkySoarer flight lines by more than $10 million. Otherwise, select No.
| Yes | No | |
| Line AD | ||
| Line AE | ||
| Line BE |
ShowHide Answer
Official Answer
Line AD: Yes
Line AE: Yes
Line BE: No
Line AD
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (02:14) correct
23%
(01:52)
wrong
based on 1709
sessions
History
Date
Time
Result
Not Attempted Yet
3. SkySoarer would like to add a new flight line that decreases the minimum total flight time for a trip between Cordell and Dewark. An implementation budget for the new line has been set at $13 million. Based on the information provided, which of the following lines, if implemented, would minimize the total flight time between Cordell and Dewark within the budget constraint?
| Line AD | |
| Line AE | |
| Line BE | |
| Line CD | |
| Line DE |
ShowHide Answer
Official Answer
Line AD
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01 Nov 2023, 19:29
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Explanation for Question 1
1. SkySoarer has decided its new flight line should have a projected annual revenue of more than $20 million. The implementation of the line should also make it possible to travel between any two of the currently serviced cities by taking at most two flights. For each of the following proposed new lines, if, based on the information provided, the line satisfies these requirements, select Yes. Otherwise, select No.
Line AD
To see whether line AD satisfies the two requirements, we can first go to tab New Flight Lines to see whether the line has a projected annual revenue of more than $20 million. Checking the table, we see that AD has a projected annual revenue of $20.1 million. So, AD satisfies the first requirement.
Then, to see whether AD satisfies the second requirement by making it possible to travel between any two of the currently serviced cities by taking at most two flights, we can go to the diagram on tab Current Flights to see what happens to the routes if we add a direct flight between Abron and Dewark.
Doing so, we see that with a direct flight between Abron and Dewark, traveling from Epster to Dewark still requires taking three flights. So, line AD does not satisfy the second requirement.
Select No.
Line BE
To see whether line BE satisfies the first requirement, we check the table on tab New Flight lines and find that BE has a projected annual revenue of $18.8 million. That's less than $20 million. So, line BE does not satisfy the first requirement.
Select No.
Line DE
To see whether line DE satisfies the first requirement, we check the table on tab New Flight lines and find that DE has a projected annual revenue of $29.1 million. That's more than $20 million. So, line DE satisfies the first requirement.
To see whether DE satisfies the second requirement, we go to the diagram on tab Current Flights to see what happens to the routes if we add a direct flight between Dewark and Epster.
Doing so, we see that with a direct flight between Dewark and Epster, traveling from any of the cities to any other takes at most two flights. That it does is pretty straightforward to see since, with a direct line between Dewark and Epster, the pentagon of flight lines is connected on all five sides. So, any city is at most three sides away from any other city in one direction and two sides away from the same city in the other direction. So, line DE satisfies the second requirement as well.
Select Yes.
Correct Answer
Explanation for Question 2
2. For each of the following proposed new flight lines, select Yes if, based on the information provided, implementing the line would increase the total annual revenue generated by all SkySoarer flight lines by more than $10 million. Otherwise, select No.
Line AD
To see whether the addition of this line would increase the total annual revenue generated by all SkySoarer flight lines by more than $10 million, we can check the parts of the provided information that involve revenue.
First, let's find the projected revenue for line AD in the table on tab New Flight Lines. It's $20.1 million.
Our job isn't done yet though since tab New Flight Lines also provides the following information:
So, we have to determine the total reduction in revenue for the current flight lines to Abron and Dewark. We can find that information on the diagram on tab Current Flights.
Abron to Bionia: 33.1; 10% of 33.1 is approximately 3.3
Abron to Cordell: 18.7; 10% of 18.7 is approximately 1.9
Dewark to Bionia: 18.1; 10% of 18.1 is approximately 1.8
3.3 + 1.9 + 1.8 = 7
20.1 - 7 = 13.1
Since 13.1 is significantly greater than 10, we don't have to worry about the fact that we rounded when calculating the 10% reductions since we can tell that adding this line will for sure increase the total annual revenue generated by all SkySoarer flight lines by more than $10 million.
Select Yes
Line AE
From tab New Flight lines, the projected annual revenue for this line is $17.2 million.
The reduction in revenue for other lines resulting from the addition of this line can be calculated as follows:
Abron to Bionia: 33.1; 10% of 33.1 is approximately 3.3.
Abron to Cordell: 18.7; 10% of 18.7 is approximately 1.9.
Epster to Cordell: 17.6; 10% of 17.6 is approximately 1.8.
3.3 + 1.9 + 1.8 = 7
17.2 - 7 = 10.2
10.2 is greater than 10, and we rounded up when calculating 10% of 18.7 and 17.6. So, even though we rounded, we can be confident that the addition of this line will result in a net increase in revenue of more than $10 million.
Select Yes.
Line BE
From tab New Flight lines, the projected annual revenue for this line is $18.8 million.
The reduction in revenue for other lines resulting from the addition of this line can be calculated as follows:
Bionia to Abron: 33.1; 10% of 33.1 is approximately 3.3.
Bionia to Cordell: 27.3; 10% of 27.3 is approximately 2.7.
Bionia to Dewark: 18.1; 10% of 18.1 is approximately 1.8.
Epster to Cordell: 17.6; 10% of 17.6 is approximately 1.8.
3.3 + 2.7 + 1.8 + 1.8 = 9.6
18.2 - 9.6 = 8.6
8.6 is significantly less than 10. So, even though we rounded when calculating the 10% reductions, we can be confident that the addition of this line will NOT result in a net increase in revenue of more than $10 million.
Select No.
Correct Answer
Explanation for Question 3
3. SkySoarer would like to add a new flight line that decreases the minimum total flight time for a trip between Cordell and Dewark. An implementation budget for the new line has been set at $13 million. Based on the information provided, which of the following lines, if implemented, would minimize the total flight time between Cordell and Dewark within the budget constraint?
Line AD
Line AE
Line BE
Line CD
Line DE
To narrow down our choices, we can first eliminate any of the lines that have implementation budgets over $13 million since doing so is simple.
Checking the table on tab New Flight lines, we see that BE and CD have implementation budgets over $13 million. So, we can eliminate those two and are left with AD, AE, and DE.
Now, since the addition of the new line must reduce the minimum total flight time for a trip between Cordell and Dewark, let's see what the current minimum flight time for a trip between Cordell and Dewark is.
Since the only flight into Dewark is the one from Bionia, we know that the 78 minutes for a trip from Bionia to Dewark must be included in the trip from Cordell to Dewark. Then, the quickest way to get from Cordell to Bionia is to take the direct flight between the two cities, which takes 96 minutes. So, currently, the minimum total flight time from Cordell to Dewark is 78 + 96 = 174 minutes.
Now let's check what happens when we add each of the possible lines.
Line AD
From the diagram on tab Current Flights, 63 minutes from Cordell to Abron
From the table on tab New Flight lines, 85 minutes to get from Abron to Dewark
85 + 63 = 148
148 is less than 174. So, the addition of this line decreases the minimum total flight time for a trip between Cordell and Dewark. However, the question asks which line "would minimize the total flight time between Cordell and Dewark." So, we may need to find the shortest route, the one that actually minimizes the time. It may be that the question isn't worded ideally, and really we just need to find a route that's shorter than the current shortest route, but let's check the other two remaining choices to see what we get.
Keep.
Line AE
Adding a line from Abron to Epster does not help at all with getting from Cordell to Dewark.
Eliminate.
Line DE
Adding a line from Dewark to Epster allows us to get from Cordell to Dewark in the following amount of time.
From the diagram on tab Current Flights, 57 minutes from Cordell to Epster
From the table on tab New Flight lines, 174 minutes to get from Epster to Dewark
Without doing any math, we can tell that 57 + 174 is greater than the current minimum total flight time of a trip from Cordell to Dewark of 174 minutes.
So, the addition of line DE does not shorten the time required for traveling from Cordell to Dewark.
Eliminate.
Correct Answer
1. SkySoarer has decided its new flight line should have a projected annual revenue of more than $20 million. The implementation of the line should also make it possible to travel between any two of the currently serviced cities by taking at most two flights. For each of the following proposed new lines, if, based on the information provided, the line satisfies these requirements, select Yes. Otherwise, select No.
Line AD
To see whether line AD satisfies the two requirements, we can first go to tab New Flight Lines to see whether the line has a projected annual revenue of more than $20 million. Checking the table, we see that AD has a projected annual revenue of $20.1 million. So, AD satisfies the first requirement.
Then, to see whether AD satisfies the second requirement by making it possible to travel between any two of the currently serviced cities by taking at most two flights, we can go to the diagram on tab Current Flights to see what happens to the routes if we add a direct flight between Abron and Dewark.
Doing so, we see that with a direct flight between Abron and Dewark, traveling from Epster to Dewark still requires taking three flights. So, line AD does not satisfy the second requirement.
Select No.
Line BE
To see whether line BE satisfies the first requirement, we check the table on tab New Flight lines and find that BE has a projected annual revenue of $18.8 million. That's less than $20 million. So, line BE does not satisfy the first requirement.
Select No.
Line DE
To see whether line DE satisfies the first requirement, we check the table on tab New Flight lines and find that DE has a projected annual revenue of $29.1 million. That's more than $20 million. So, line DE satisfies the first requirement.
To see whether DE satisfies the second requirement, we go to the diagram on tab Current Flights to see what happens to the routes if we add a direct flight between Dewark and Epster.
Doing so, we see that with a direct flight between Dewark and Epster, traveling from any of the cities to any other takes at most two flights. That it does is pretty straightforward to see since, with a direct line between Dewark and Epster, the pentagon of flight lines is connected on all five sides. So, any city is at most three sides away from any other city in one direction and two sides away from the same city in the other direction. So, line DE satisfies the second requirement as well.
Select Yes.
Correct Answer
No, No, Yes
Explanation for Question 2
2. For each of the following proposed new flight lines, select Yes if, based on the information provided, implementing the line would increase the total annual revenue generated by all SkySoarer flight lines by more than $10 million. Otherwise, select No.
Line AD
To see whether the addition of this line would increase the total annual revenue generated by all SkySoarer flight lines by more than $10 million, we can check the parts of the provided information that involve revenue.
First, let's find the projected revenue for line AD in the table on tab New Flight Lines. It's $20.1 million.
Our job isn't done yet though since tab New Flight Lines also provides the following information:
- SkySoarer has projected that adding a new line while making no other changes will reduce the annual revenue provided by all flight lines that share a terminus with the new line by 10%.
So, we have to determine the total reduction in revenue for the current flight lines to Abron and Dewark. We can find that information on the diagram on tab Current Flights.
Abron to Bionia: 33.1; 10% of 33.1 is approximately 3.3
Abron to Cordell: 18.7; 10% of 18.7 is approximately 1.9
Dewark to Bionia: 18.1; 10% of 18.1 is approximately 1.8
3.3 + 1.9 + 1.8 = 7
20.1 - 7 = 13.1
Since 13.1 is significantly greater than 10, we don't have to worry about the fact that we rounded when calculating the 10% reductions since we can tell that adding this line will for sure increase the total annual revenue generated by all SkySoarer flight lines by more than $10 million.
Select Yes
Line AE
From tab New Flight lines, the projected annual revenue for this line is $17.2 million.
The reduction in revenue for other lines resulting from the addition of this line can be calculated as follows:
Abron to Bionia: 33.1; 10% of 33.1 is approximately 3.3.
Abron to Cordell: 18.7; 10% of 18.7 is approximately 1.9.
Epster to Cordell: 17.6; 10% of 17.6 is approximately 1.8.
3.3 + 1.9 + 1.8 = 7
17.2 - 7 = 10.2
10.2 is greater than 10, and we rounded up when calculating 10% of 18.7 and 17.6. So, even though we rounded, we can be confident that the addition of this line will result in a net increase in revenue of more than $10 million.
Select Yes.
Line BE
From tab New Flight lines, the projected annual revenue for this line is $18.8 million.
The reduction in revenue for other lines resulting from the addition of this line can be calculated as follows:
Bionia to Abron: 33.1; 10% of 33.1 is approximately 3.3.
Bionia to Cordell: 27.3; 10% of 27.3 is approximately 2.7.
Bionia to Dewark: 18.1; 10% of 18.1 is approximately 1.8.
Epster to Cordell: 17.6; 10% of 17.6 is approximately 1.8.
3.3 + 2.7 + 1.8 + 1.8 = 9.6
18.2 - 9.6 = 8.6
8.6 is significantly less than 10. So, even though we rounded when calculating the 10% reductions, we can be confident that the addition of this line will NOT result in a net increase in revenue of more than $10 million.
Select No.
Correct Answer
Yes, Yes, No
Explanation for Question 3
3. SkySoarer would like to add a new flight line that decreases the minimum total flight time for a trip between Cordell and Dewark. An implementation budget for the new line has been set at $13 million. Based on the information provided, which of the following lines, if implemented, would minimize the total flight time between Cordell and Dewark within the budget constraint?
Line AD
Line AE
Line BE
Line CD
Line DE
To narrow down our choices, we can first eliminate any of the lines that have implementation budgets over $13 million since doing so is simple.
Checking the table on tab New Flight lines, we see that BE and CD have implementation budgets over $13 million. So, we can eliminate those two and are left with AD, AE, and DE.
Now, since the addition of the new line must reduce the minimum total flight time for a trip between Cordell and Dewark, let's see what the current minimum flight time for a trip between Cordell and Dewark is.
Since the only flight into Dewark is the one from Bionia, we know that the 78 minutes for a trip from Bionia to Dewark must be included in the trip from Cordell to Dewark. Then, the quickest way to get from Cordell to Bionia is to take the direct flight between the two cities, which takes 96 minutes. So, currently, the minimum total flight time from Cordell to Dewark is 78 + 96 = 174 minutes.
Now let's check what happens when we add each of the possible lines.
Line AD
From the diagram on tab Current Flights, 63 minutes from Cordell to Abron
From the table on tab New Flight lines, 85 minutes to get from Abron to Dewark
85 + 63 = 148
148 is less than 174. So, the addition of this line decreases the minimum total flight time for a trip between Cordell and Dewark. However, the question asks which line "would minimize the total flight time between Cordell and Dewark." So, we may need to find the shortest route, the one that actually minimizes the time. It may be that the question isn't worded ideally, and really we just need to find a route that's shorter than the current shortest route, but let's check the other two remaining choices to see what we get.
Keep.
Line AE
Adding a line from Abron to Epster does not help at all with getting from Cordell to Dewark.
Eliminate.
Line DE
Adding a line from Dewark to Epster allows us to get from Cordell to Dewark in the following amount of time.
From the diagram on tab Current Flights, 57 minutes from Cordell to Epster
From the table on tab New Flight lines, 174 minutes to get from Epster to Dewark
Without doing any math, we can tell that 57 + 174 is greater than the current minimum total flight time of a trip from Cordell to Dewark of 174 minutes.
So, the addition of line DE does not shorten the time required for traveling from Cordell to Dewark.
Eliminate.
Correct Answer
Line AD
General Discussion
10 Feb 2024, 07:52
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Can I understand from you why Q2, say if we are looking at AD,<br />
Why do we have to consider AC? Shouldn't we look at AB, BD is already ok? It's gonna be a detour of AC, CB and BD?<br />
Also if we are considering AC, why BC is omitted?<br />
<br />
Same concept for BE - why do we need to consider BA?
Why do we have to consider AC? Shouldn't we look at AB, BD is already ok? It's gonna be a detour of AC, CB and BD?<br />
Also if we are considering AC, why BC is omitted?<br />
<br />
Same concept for BE - why do we need to consider BA?
