Question: A two-dimensional skier must slalom down a slope, by going through n parallel gates of known position (x i , y i ), and of

A two-dimensional skier must slalom down a slope, by going through n parallel gates of known position (x_i, y_i), and of width c_i, i = 1, . . . , n. The initial position (x₀, y₀) is given, as well as the final one, (x_n+1, y_n+1). Here, the x-axis represents the direction down the slope, from left to right.

1. Find the path that minimizes the total length of the path. Your answer should come in the form of an optimization problem.
2. Try solving the problem numerically, with the data given in Table 9.3.

In Table 9.3.

Budget (USD) 100,000 Manpw. (hrs) Equip. (hrs) storage cap. (kg) 2,000 800

Budget (USD) 100,000 Manpw. (hrs) Equip. (hrs) storage cap. (kg) 2,000 800 1,000

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