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Question 1: Minimum Cost Difference
Goal: Find \(Cost_{Car} - Cost_{Public}\).
TRAP: Do not calculate the total cost of the trip (flight tickets + hotel). These are the same in both scenarios. Only calculate the costs that change based on the decision.
1. Public Transport Option:
* Fixed Cost: \(200\)
* Baggage: They only bring 3 suitcases. No car seats needed. (Assume standard baggage costs cancel out or are irrelevant if we only look at the extra items).
2. Car Rental Option:
* Duration: 6 days.
* Cheapest Car (C2 from table): \(27 \text{ per day}\).
\(Rental = 27 \times 6 = 162\)
* Parking (Fixed): \(150\)
* The "Hidden" Cost: Since they rent "ONLY a car", they must bring 2 car seats from home.
* Total items to check: 3 suitcases + 2 car seats.
* The 2 car seats are extra compared to the Public Transport option.
* Airline A5 fee: \(25\) per bag.
* Calculation: \(2 \text{ seats} \times 2 \text{ ways} \times 25 = 100\).
Total Car Option Cost:
\(162 (\text{Rental}) + 150 (\text{Parking}) + 100 (\text{Baggage}) = 412\)
Difference:
\(412 - 200 = 212\)
Answer: 212
[hr]
Question 2: Car Rental (Yes/No)
Goal: Compare daily costs including child seats against Company C1.
Formula: \(\text{Daily Total} = \text{Car Price} + (2 \times \text{Seat Price})\)
1. Establish Benchmark (C1):
Calculate the total daily cost for C1 using the table values.
\(\text{Benchmark} = C1_{car} + 2(C1_{seat})\)
2. Evaluate Others:
For each row (C2, C3, C4), calculate:
\(\text{Cost}_{Cx} = Cx_{car} + 2(Cx_{seat})\)
3. Decision:
* If \(\text{Cost}_{Cx} > \text{Benchmark}\) $\rightarrow$ Select Yes.
* If \(\text{Cost}_{Cx} \leq \text{Benchmark}\) $\rightarrow$ Select No.
[hr]
Question 3: Airline Baggage (Yes/No)
Scenario: Bringing seats from home.
Total Items: 3 suitcases + 2 car seats = 5 bags total.
Goal: Is the cost to check 5 bags on Airline X greater than on Airline A1?
1. Calculate A1 (Benchmark):
Sum the cost of 5 bags based on A1's rules (e.g., 1st free, others $X). This is your target number.
2. Compare:
Calculate the cost for 5 bags for the other airlines listed in the rows.
* If \(\text{Cost}_{Airline} > \text{Cost}_{A1}\) $\rightarrow$ Select Yes.
* Otherwise $\rightarrow$ Select No.
Goal: Find \(Cost_{Car} - Cost_{Public}\).
TRAP: Do not calculate the total cost of the trip (flight tickets + hotel). These are the same in both scenarios. Only calculate the costs that change based on the decision.
1. Public Transport Option:
* Fixed Cost: \(200\)
* Baggage: They only bring 3 suitcases. No car seats needed. (Assume standard baggage costs cancel out or are irrelevant if we only look at the extra items).
2. Car Rental Option:
* Duration: 6 days.
* Cheapest Car (C2 from table): \(27 \text{ per day}\).
\(Rental = 27 \times 6 = 162\)
* Parking (Fixed): \(150\)
* The "Hidden" Cost: Since they rent "ONLY a car", they must bring 2 car seats from home.
* Total items to check: 3 suitcases + 2 car seats.
* The 2 car seats are extra compared to the Public Transport option.
* Airline A5 fee: \(25\) per bag.
* Calculation: \(2 \text{ seats} \times 2 \text{ ways} \times 25 = 100\).
Total Car Option Cost:
\(162 (\text{Rental}) + 150 (\text{Parking}) + 100 (\text{Baggage}) = 412\)
Difference:
\(412 - 200 = 212\)
Answer: 212
[hr]
Question 2: Car Rental (Yes/No)
Goal: Compare daily costs including child seats against Company C1.
Formula: \(\text{Daily Total} = \text{Car Price} + (2 \times \text{Seat Price})\)
1. Establish Benchmark (C1):
Calculate the total daily cost for C1 using the table values.
\(\text{Benchmark} = C1_{car} + 2(C1_{seat})\)
2. Evaluate Others:
For each row (C2, C3, C4), calculate:
\(\text{Cost}_{Cx} = Cx_{car} + 2(Cx_{seat})\)
3. Decision:
* If \(\text{Cost}_{Cx} > \text{Benchmark}\) $\rightarrow$ Select Yes.
* If \(\text{Cost}_{Cx} \leq \text{Benchmark}\) $\rightarrow$ Select No.
[hr]
Question 3: Airline Baggage (Yes/No)
Scenario: Bringing seats from home.
Total Items: 3 suitcases + 2 car seats = 5 bags total.
Goal: Is the cost to check 5 bags on Airline X greater than on Airline A1?
1. Calculate A1 (Benchmark):
Sum the cost of 5 bags based on A1's rules (e.g., 1st free, others $X). This is your target number.
2. Compare:
Calculate the cost for 5 bags for the other airlines listed in the rows.
* If \(\text{Cost}_{Airline} > \text{Cost}_{A1}\) $\rightarrow$ Select Yes.
* Otherwise $\rightarrow$ Select No.
Moderators:
