The following information is relevant for Questions 8-9. The rope tying a barge to the dock snapped;
Question:
The following information is relevant for Questions 8-9. The rope tying a barge to the dock snapped; the barge began floating down the river, and struck a small boat. Suppose that the barge operator can reduce the probability of the rope snapping by using a thicker rope. Let x be the thickness of the rope and p(x) = 1/x be the probability of snapping. Moreover, suppose that the thickness of the rope can vary between 5 and 15 inches (with 1 inch increments). Assume that the rope costs 1000 per inch of thickness (for the length of rope needed) and that the accident produces 100000 worth of damage.Bottom of Form
Question 8
HomeworkUnanswered
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)?
A 100000/x
B 100000/x+1000
C 100000/x+1000x
D 100000+1000x
Question 9
HomeworkUnanswered
The optimal thickness of the rope that minimizes total cost is
A 5
B 8
C 10
D 12
E 14
F 15
Financial Statement Analysis
ISBN: 978-0078110962
11th edition
Authors: K. R. Subramanyam, John Wild