Question

In: Civil Engineering

A crew of mechanics at the Highway Department garage repair vehicles that break down at an...

A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 10 vehicles per hour (approximately Poisson in nature). The mechanic crew can service an average of 2 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $50 per hour. The cost associated with lost productivity from the breakdown is estimated at $80 per vehicle per hour (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews? The average waiting time for adding the second crew is 0.02.

Solutions

Expert Solution


Related Solutions

The highway department wants to estimate the proportion of vehicles on Interstate 25 between the hours...
The highway department wants to estimate the proportion of vehicles on Interstate 25 between the hours of midnight and 5.00 A.M. that are 18-wheel tractor trailers. The estimate will be used to determine highway repair and construction considerations and in highway patrol planning. Suppose researchers for the highway department counted vehicles at different locations on the interstate for several nights during this time period. Of the 3601 vehicles counted, 934 were 18-wheelers. A. determine the point estimate for the proportion...
The highway department must select one of two repair options for a 10-mile of a four-lane...
The highway department must select one of two repair options for a 10-mile of a four-lane highway. The analysis period is 8 years and interest rate (MAAR) is 8% Option 1 Option 2 Initail Cost 5,300,000 3,000,000 Annual cost 300,000 400,000 Lifetime 8 years 4 years a) Using Present worth analysis, find the best repair option. b) Using Annual worth analysis, find the repair option. c) Using incremental rate of return analysis, find the best repair option. Use the shortcut...
The table below is based on records of accidents in 1988 compiled by the Department of Highway Safety and Motor Vehicles in Florida.
 The table below is based on records of accidents in 1988 compiled by the Department of Highway Safety and Motor Vehicles in Florida. The analyst would like to know if there is a relationship between Injury type and seatbelts a. Would you consider this an experiment? Do you think that these data were collected as part of an experiment? Explain b. Give the null and alternative for the test c. Use the chi-square test to run the test at a = 0.05 d. Give...
A town contains 4 people who repair televisions. If 5 sets break down, and each repairer...
A town contains 4 people who repair televisions. If 5 sets break down, and each repairer is equally likely to be called, what is the probability that (1) exactly 2 of the repairers are called? (2) exactly 3 of the repairers are called?
The following table is based on records of accidents in 1988 compiled by the Department of Highway Safety and Motor Vehicles in Florida. Find a
 The following table is based on records of accidents in 1988 compiled by the Department of Highway Safety and Motor Vehicles in Florida. Find a95% CI for the relative risk. Conduct a test H0 : θ = 1 against Ha : θ ≠ 1 by using α = 0.05. 
Describe the mechanism underlying the below repair mechanisms. Base Excision Repair Nucleotide Excision Repair Doublestranded Break...
Describe the mechanism underlying the below repair mechanisms. Base Excision Repair Nucleotide Excision Repair Doublestranded Break Repair
A state highway department is considering improvements to an existing highway in order to reduce the...
A state highway department is considering improvements to an existing highway in order to reduce the frequency of accidents on the highway. The type and frequency of accidents on the highway, studied over several years, showed that there were into three classes of accidents: fatal accidents, non-fatal injury accidents, and property damage accidents. On the average, there were 35 non-fatal accidents and 240 property damage accidents for each fatal accident. The calculated costs of such accidents embrace lost wages, medical...
A manufacturing company employs a maintenance crew to repair its machines as needed. Management now wants...
A manufacturing company employs a maintenance crew to repair its machines as needed. Management now wants a simulation study done to analyse what the size of the crew should be, where the crew sizes are 2, 3, and 4. The time required by the crew to repair a machine has a uniform distribution over the interval from 0 and twice the mean, where the mean depends on the crew size. The mean is 4 hours with two crew members, 3...
The number of vehicles on a highway link is counted on each of 40 randomly chosen...
The number of vehicles on a highway link is counted on each of 40 randomly chosen days. The mean number of vehicles is found to be 135, and the standard deviation is 90. (a) Find a 90% confidence interval for the sample mean. (3) (b) Find a 90% confidence interval for the mean, assuming it had been based upon a sample of 15 days, instead of a sample 40 days. (3)
1. The number of vehicles on a highway link is counted on each of 40 randomly...
1. The number of vehicles on a highway link is counted on each of 40 randomly chosen days. The mean number of vehicles is found to be 135, and the standard deviation is 90. (a) Find a 90% confidence interval for the sample mean. (b) Find a 90% confidence interval for the mean, assuming it had been based upon a sample of 15 days, instead of a sample 40 days. Thank you very much!
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT