IV. Suppose that it has been determined, based on experience, that when a certain truck is driven at an average speed of v kilometers per hour the cost of operating the truck (fuel 12 plus maintenance) is 6+ dollars per kilometer. Suppose also that the driver's 45000 salary (including benefits) is 42 dollars per hour. The question is to determine the average speed at which the truck should be driven on a 500 kilometer trip so that the cost to the trucking company is as low as possible. A. Write an expression for C(v) which gives the cost of the trip as a function of the average speed maintained during the trip. Dimensional analysis can be very helpful here. B. Give a reasonable context domain for the cost function, C, and then determine, accurate to the nearest tenth of a kilometer per hour, the average speed which would minimize the cost of the trip. Show the details of your work and give an AP level justification. IV. Suppose that it has been determined, based on experience, that when a certain truck is driven at an average speed of v kilometers per hour the cost of operating the truck (fuel 12 plus maintenance) is 6+ dollars per kilometer. Suppose also that the driver's 45000 salary (including benefits) is 42 dollars per hour. The question is to determine the average speed at which the truck should be driven on a 500 kilometer trip so that the cost to the trucking company is as low as possible. A. Write an expression for C(v) which gives the cost of the trip as a function of the average speed maintained during the trip. Dimensional analysis can be very helpful here. B. Give a reasonable context domain for the cost function, C, and then determine, accurate to the nearest tenth of a kilometer per hour, the average speed which would minimize the cost of the trip. Show the details of your work and give an AP level justification