All trucks traveling on Interstate 40 between Albuquerque and Amarillo are required to stop at a...

All trucks traveling on Interstate 40 between Albuquerque and Amarillo are required to stop at a weigh station. Trucks arrive at the weigh station at a rate of 200 per 8-hour day, and the station can weigh, on the average, 220 trucks per day. a. Determine the average number of trucks waiting, the average time spent waiting and being weighed at the weigh station by each truck, and the average waiting time before being weighed for each truck. b. If the truck drivers find out they must remain at the weigh station longer than 15 minutes, on average, they will start taking a different route or traveling at night, thus depriving the state of taxes. The state of New Mexico estimates that it loses $10,000 in taxes per year for each extra minute trucks must remain at the weigh station. A new set of scales would have the same service capacity as the present set of scales, and it is assumed that arriving trucks would line up equally behind the two sets of scales. It would cost $50,000 per year to operate the new scales. Should the state install the new set of scales?

Expert Solution

orchestra answered 1 year ago

All trucks traveling on Interstate 40 between Alburquerque and Amarillo are required to stop at a...

All trucks traveling on Interstate 40 between Alburquerque and Amarillo are required to stop at a weigh station. Trucks arrive at the weigh station at a rate of 200 per 8-hour day, and the station can weigh, on the average, 220 trucks per day. Determine the average number of trucks waiting, the average time spent waiting and being weighed at the weigh station by each truck, and the average waiting time before being weighed for each truck. If the truck...

When traveling 40 mph (miles per hour), the distance that it takes Fred’s car to stop...

When traveling 40 mph (miles per hour), the distance that it takes Fred’s car to stop varies evenly between 120 and 155 feet. (This includes the reaction distance and the braking distance.) All of the questions are related to the stopping distance when Fred is traveling 40 mph. a) Let S be the distance it takes for Fred’s car to stop at when traveling 40 mph. Find the distribution, parameter(s), and support of S. b) What is the probability that...

Grumpy Trucking manufactures trucks and currently produces all of the required parts for its trucks internally....

Grumpy Trucking manufactures trucks and currently produces all of the required parts for its trucks internally. Grumpy has received an offer from an external vendor to supply all of the axles for Grumpy’s trucks at a cost of $5,000 per axle. The following information relates to Grumpy’s axle production: Production 2,000 axles Variable costs 4,000 per axle produced Machine costs $1,000,000 Other fixed costs $500,000 (a) Machine costs represent rental payments for equipment used in axle production. If Grumpy accepts...

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Construct an amortization schedule that includes all the required information and illustrate the relationship between the elements in this schedule.

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