Tackling the Optimization Problem: Finding the Best Solution

A handwritten math problem on paper compares building a bridge versus a road across a river, calculating costs and using calculus to find the minimum total cost. The diagram shows a 6km vertical distance and 8km horizontal distance, with bridge cost at 40,000€/km and road cost at 20,000€/km. The text shows equations for bridge length, road length, total cost, and the derivative set to zero to find the optimal point. The solution involves solving a quadratic equation for 't' and discarding the negative root. The final calculation leads to a complex equation that is visually messy and appears to be incorrectly solved, with a note that 'negative part discarded because t ∈ [0,1]'.

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