Question: 3. (20%) A bridge is being designed for a crossing over a river with length L. The superstructure design under consideration will have a weight

3. (20%) A bridge is being designed for a crossing over a river with length L. The superstructure design under consideration will have a weight (pound per foot) depending on the span, S, between piers in accordance with W = 305 + 200. Piers will be made of steel and will cost $181,150 each. The superstructure will be erected at a cost of $2 per pound. If the number of piers required is to be one less than the number of spans, (a) Find the number of piers that will result in minimum cost if L = 660 feet. (b) If the minimum distance between piers must be 66 feet or longer, what is the new design should be and what is the cost penalty comparing to the design in (a)

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