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8. The rope tying a barge to the dock snapped; the barge began oating down the river, and struck a small boat. Suppose that the

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8. The rope tying a barge to the dock snapped; the barge began oating down the river, and struck a small boat. Suppose that the barge operator can reduce the probability of the rope's snapping by using a thicker rope. Let x be the thickness of the ropes and p(x) = 1/x be the probability of snapping and the thickness of the rope can vary between 5 and 15 inches (with 1 inch increments). Assume that rope costs 1000 per inch of thickness (for the length of rope needed) and that the accident produces 100000 worth of damage. What is the total cost of choosing a rope with thickness x (note: total cost accounts for both the expected cost of the accident as well as the precaution cost). Answer choices A. 100000/x B. 100000/x+1000 C. 100000/x+1000x D. 100000+1000x

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