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ANSWER THIS OPTIMIZATION PROBLEM AND PROVIDE COMPLETE SOLUTIONS AND COMPLETE AND LABEL THE MODEL:

You are at a point A in the shore of a circular lake with radius R. You want to get to the point B which is diametrically opposite from A. There is a boat at A. You could row in a straight line from A to B. You could also run around the lake all the way from A to B. Or you could row the boat from A to some point C in the coast somewhere in between A and B, abandon the boat, and then run to B. Assume that you can run with velocity vi and that you can row with velocity v2. Assume v2 < vi (otherwise, the problem is very easy, can you see why?) Where should the point C be located in order to get from A to B as fast as possible? Your n the values of vi and V2 answer will, of course, depend o t: The answer to this problem is surprising. If you solve it routinely a Hin nd you do not notice anything unusual, chances are you are missing the point and your answer is wrong.

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20 27 a-ㄧㄣ dlx2

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