The decision hinges on Expected Value (EV) under uncertainty. Washington Park is a high-beta location with a 1400 dollar revenue swing between sun and rain. Financial Square is low-beta with only a 200 dollar swing. Without a forecast, the EV for Washington Park is 1080 dollars (0.70 times 1500 plus 0.30 times 100). The EV for Financial Square is 840 dollars (0.70 times 900 plus 0.30 times 700). Washington Park is the superior default location.
Option 1: Fixed Location Strategy (Financial Square)
Option 2: Forecast-Driven Pivot Strategy
Adopt the Forecast-Driven Pivot Strategy. The math confirms that switching to Financial Square when rain is forecasted yields the highest profit. Even with 20 percent error, the downside protection at Financial Square during rain outweighs the lost upside at Washington Park.
Success depends on minimizing the cost of forecast errors. Sam should develop a rainy-day menu with longer shelf-life components. This mitigates the loss when the forecast predicts rain but the sun appears. The plan assumes the truck can secure parking at either location with minimal notice.
The truck should operate at Washington Park by default and move to Financial Square only when rain is forecasted. Washington Park generates 1100 dollars in daily contribution during sunny weather, which occurs 70 percent of the time. While Financial Square offers stability, the profit ceiling is too low to justify permanent relocation. Using the forecast to avoid Washington Park during rain increases the annual profit floor by approximately 15 percent. This strategy accepts occasional errors as the cost of capturing peak demand.
The analysis assumes forecast accuracy is independent of the severity of the weather. If the 80 percent accuracy rate drops during light drizzle versus heavy storms, the expected value calculations for Financial Square will fail.
| Risk Factor | Probability | Consequence |
|---|---|---|
| Site Displacement | Medium | Loss of daily revenue if the preferred spot is occupied by a competitor. |
| Supply Chain Rigidity | High | Wasted inventory costs if suppliers require 24-hour notice for volume changes. |
The team did not evaluate a dual-truck model. While capital intensive, operating at both sites eliminates the forecasting risk and captures the 1500 dollar sunny day peak and the 700 dollar rainy day floor simultaneously. This would transform the business from a tactical gamble into a market-capturing enterprise.
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