Question 15 (0.00001 points) The cost of fuel, F (in dollars per hour), to propel a ferry boat through the water at speed v miles per hour is given by /" = ku" where k is a positive constant. Our goal is to determine the speed, v, the ferry should travel so as to minimize the cost per mile traveled. (a) If the ferry uses $270 worth of fuel per hour, i.e., F=270, when cruising at 15 miles per hour, determine k. (b) With the labor, maintenance, and so on, the total cost of running the ferry is F+1200 dollars per hour. Suppose the maximum speed the ferry can run is 30 miles per hour. Determine the speed v to minimize the cost per mile traveled F + 1200 C Verify that your answer is a global minimum. U