A highway section has the following traffic flow characteristics: v = 60 - (q/12

Question

A highway section has the following traffic flow characteristics:    v = 60 - (q/120)

where v is the speed (expressed in miles per hour), and q is the vehicle flow (expressed in vehicles per hour). The motorist's cost p (expressed in cents per mile) is

                                         p = 2.5(3 + 200/v)

and vehicle demand D (expressed in vehicles per hour) is

                                         D = 3.8(10^4/p)

c) Plot the motorist's private and marginal cost curves and the demand curve.

d) Determine the optimum flow.

e) Determine the toll that should be charged to limit the flow to the optimal flow.

Explanation / Answer

the optimum flow is 20 per hour

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