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Vehicle Waiting Time The average number of vehicles

Chapter 4, Problem 54A

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QUESTION:

Problem 54A

Vehicle Waiting Time The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the function

where x is a quantity between 0 and 1 known as the traffic intensity. Find the rate of change of the number of vehicles in line with respect to the traffic intensity for the following values of the intensity. Source: Principles of Highway Engineering and Traffic Control.

a.x =0.1

b.x =0.6

Questions & Answers

QUESTION:

Problem 54A

Vehicle Waiting Time The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the function

where x is a quantity between 0 and 1 known as the traffic intensity. Find the rate of change of the number of vehicles in line with respect to the traffic intensity for the following values of the intensity. Source: Principles of Highway Engineering and Traffic Control.

a.x =0.1

b.x =0.6

ANSWER:

SOLUTION:

Step 1 of 4:

In this question, the average number of vehicles waiting in a line to enter a parking ramp can be modeled by the function  .

where  is a quantity between 0 and 1 known as the traffic intensity. Find the rate of change of the number of vehicles in line with respect to the traffic intensity for the following values

of the intensity.  (a) 0.1  (b)  0.6.

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