The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

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Answer 1

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Chapter 5, Problem 9P

a)

Summary Introduction

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

b)

Summary Introduction

To determine: Should the weighing station install a new set of scales to reduce waiting time

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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 120 per eight-hour day (Poisson distributed), and the station can weigh, on the average, 140 trucks per day (Poisson distributed). Suppose arriving truck drivers look to see how many trucks are waiting to be weighed at the weigh station. If they see four or more trucks in line, they will pass by the station and risk being caught and ticketed. What is the probability that a truck will pass by the station?

12-19 Juhn and Sons Wholesale Fruit Distributors employs one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times. Determine the operating characteristics of this loading gate problem. What is the probability that there will be more than three trucks either being loaded or waiting? Discuss the results of your queuing model computation.

. Cranston Cranberry Cooperative (CCC) processes cranberries that are harvested inthe local area. Barrels of cranberries arrive on trucks to CCC’s facility at a rate of150 barrels per hour and are processed continuously at a rate of 100 barrels per hour.Trucks arrive at a uniform rate over eight hours, from 6:00 a.m. until 2:00 p.m. Howlong does the last truck wait before it is processed?

Answer 2

Question

Chapter 5, Problem 9P

a)

Summary Introduction

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

b)

Summary Introduction

To determine: Should the weighing station install a new set of scales to reduce waiting time

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Answer 3

Question

Chapter 5, Problem 9P

a)

Summary Introduction

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

b)

Summary Introduction

To determine: Should the weighing station install a new set of scales to reduce waiting time

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Answer 4

Question

Chapter 5, Problem 9P

a)

Summary Introduction

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

b)

Summary Introduction

To determine: Should the weighing station install a new set of scales to reduce waiting time

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Answer 5

Chapter 5, Problem 9P

a)

Summary Introduction

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

b)

Summary Introduction

To determine: Should the weighing station install a new set of scales to reduce waiting time

Answer 6

Chapter 5, Problem 9P

a)

Summary Introduction

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

Answer 7

Chapter 5, Problem 9P

a)

Summary Introduction

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

Answer 8

b)

Summary Introduction

To determine: Should the weighing station install a new set of scales to reduce waiting time

Answer 9

b)

Summary Introduction

To determine: Should the weighing station install a new set of scales to reduce waiting time

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Uber and the Sharing Economy First there was...Ch. 5 - Prob. 2.1ASC Ch. 5 - Prob. 2.2ASC Ch. 5 - Prob. 2.3ASC Ch. 5 - Prob. 3.1ASC Ch. 5 - Prob. 3.2ASC Ch. 5 - Prob. 1Q Ch. 5 - Prob. 2Q

The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

Solution Summary: The author calculates the average number of trucks in the queue, time spent by trucks at the weighing station, and average waiting time before being weighed.

Concept explainers

To determine: The average number of trucks waiting, average time spent by trucks at the weighing station, and average waiting time before being weighed.

To determine: Should the weighing station install a new set of scales to reduce waiting time

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Chapter 5 Solutions