Design theme-park profit model and bid decision

You are evaluating pricing and a land-acquisition decision for a Disney-like theme park. Baseline: 10,000,000 unique visitors per year. Each visitor buys exactly one of three products; mix is 60% Day Pass, 30% 3-Day Pass, 10% Annual Pass. Ticket prices and average visits per buyer: Day Pass $120 for 1 visit; 3-Day Pass $300 for 3 visits; Annual Pass $800 for 6 visits. Variable operating cost is $25 per visit (independent of pass type). Ancillary gross margin (food/merch, net of cost) is $12 per visit. Ignore existing fixed costs. A land auction opportunity would increase unique visitors by 15% starting next year for 10 years with the same mix and spend patterns. One-time purchase price is $1.2B paid upfront; incremental fixed operating cost is $100M per year; discount rate is 10%; terminal value is $0 at end of year 10. Tasks: 1) Compute current annual contribution profit (tickets plus ancillary minus per-visit variable costs). 2) Compute the 10-year NPV of the land project and state whether you would bid, and why. 3) Identify the three most critical assumptions to stress-test, and show a simple sensitivity (±10%) on each to see how the decision boundary moves. 4) If capacity constraints cap total annual visits at 30,000,000, explain how you would modify your analysis and what data you would need to validate the assumptions.