SkySoarer Airlines currently offers flights with service to a total of five cities: Abron, Bionia, Cordell, Dewark, and Epster. In...

Owning the Dataset

Understanding Source A: Network Diagram - Current SkySoarer Airlines Flight Routes

Chart/Diagram Analysis

• The diagram shows SkySoarer's current flight network connecting 5 cities: Abron, Bionia, Cordell, Dewark, and Epster
• The airline operates in exactly 5 cities with a complete current network
• Each line represents bidirectional flights between two cities, with labels showing:
  • Flight duration (minutes)
  • Annual revenue (millions of dollars)
• If no line exists between two cities, there are no direct flights between them
• The network has exactly 5 flight lines connecting the 5 cities
• Current routes include:
  • Abron-Bionia (101 min/$33.1M)
  • Abron-Cordell (63 min/$18.7M)
  • Bionia-Cordell (96 min/$27.3M)
  • Bionia-Dewark (78 min/$18.1M)
  • Cordell-Epster (57 min/$17.6M)
• Key Findings:
  • Dewark and Epster are the only city pair without a direct connection
  • Revenue varies significantly across routes, from $17.6M to $33.1M annually
  • Flight times range from 57 to 101 minutes for existing routes
  • Passengers can take connecting flights when no direct route exists
  • Total time is the sum of individual flight durations (connection times not included)

Summary: Source A reveals SkySoarer's current network of 5 cities connected by 5 bidirectional routes, with Dewark and Epster being the only unconnected city pair.

Understanding Source B: Table - Proposed New Flight Line Options

Summary: Source B presents 5 new route options with varying costs and revenues, where adding any route would reduce revenues on connecting existing routes by 10%, creating complex trade-offs between new revenue and impacts on current profitable routes.

Overall Summary

• SkySoarer Airlines faces a strategic expansion decision to add one new route to their 5-city network
• The highest revenue option (DE route at $29.1M) would:
  • Connect the only unconnected city pair (Dewark-Epster)
  • Be the longest flight at 174 minutes
• The 10% revenue reduction on existing routes sharing cities with the new route means actual net benefit requires careful calculation
• The cheapest option (AE at $3.1M) offers:
  • Much lower implementation cost
  • Lower revenue potential
• This illustrates the complex optimization problem facing the airline

Question Analysis

In Plain Terms

• For each proposed new flight line, determine if it both:
  • Has projected annual revenue exceeding $20 million AND
  • Would enable travel between any two cities using at most 2 flights

Key Constraints

• Projected annual revenue must be MORE than $20 million
• After implementation, ANY two cities must be reachable with at most 2 flights
• Both requirements must be satisfied for a 'Yes' answer
• Answer Format: Binary evaluation (Yes/No) for each of three proposed lines

Connecting to Our Passage Analysis

• The analysis provides revenue data for all proposed lines and network connectivity information
• Need to check each line's revenue against $20M threshold
• Must evaluate if adding it would complete network connectivity within 2-flight constraint
• Can answer from analysis alone: Yes - analysis contains all revenue figures and network structure needed

Detailed Evaluation

Current Network Status

• Current network has a connectivity gap: Dewark-Epster requires 3 flights (must go through Bionia then Cordell)
• A line satisfies requirements if: revenue > $20M AND it enables all city pairs to connect within 2 flights

Line-by-Line Analysis

Line AD (Abron and Dewark)

• Revenue: $20.1 million annual revenue
• Revenue Check: $20.1M > $20M ✓
• Connectivity Impact: Meets revenue requirement BUT adding AD still leaves Dewark-Epster requiring 3 flights

Line BE (Bionia and Epster)

• Revenue: $18.8 million annual revenue
• Revenue Check: $18.8M < $20M ✗
• Connectivity Impact: Fails revenue requirement (though it would solve connectivity by allowing Dewark→Bionia→Epster in 2 flights)

Line DE (Dewark and Epster)

• Revenue: $29.1 million annual revenue
• Revenue Check: $29.1M > $20M ✓
• Connectivity Impact: Meets revenue requirement AND directly connects the problematic Dewark-Epster gap

Systematic Connectivity Verification

• Current problem: Dewark↔Epster requires 3 flights minimum
• Line AD: Would not reduce Dewark-Epster to 2 flights (still need Dewark→Abron→Cordell→Epster = 3)
• Line BE: Would enable Dewark→Bionia→Epster = 2 flights ✓
• Line DE: Would directly connect Dewark↔Epster = 1 flight ✓
• Other pairs: All other city pairs already reachable in 2 flights or less

Final Answer

• Line AD: No
• Line BE: No
• Line DE: Yes