A bridge has been constructed between the mainland and an island. The total cost (excluding tolls) to travel across the bridge is expressed as C- 50 + 0.5V, where V is the number of veh/hr and Cis the cost/vehicle in cents. The demand for travel across the bridge is V- 2500 - 10C. (a) Determine the volume of traffic across the bridge. (b) If a toll of 25 cents is added, what is the volume across the bridge? What volume would be expected with a 50 cent increase? (c) A tollbooth is to be added, thus reducing the travel time to cross the bridge. The new cost function is C- 50 + 0.2V. Determine the volume of traffic that would cross the bridge

3. 8.5 Two different routes are under consideration for a new interstate highway: Table P8.5 The "long" route Transmountain shortcut Length of Highway 22 miles First Cost $21 million 10 miles 10 miles $45 million Annual Upkeep $140,000 $165.000 Table P8.5 Full Alternative Text For either route, the volume of traffic will be 400,000 cars per year. These cars are assumed to operate at $0.25 per mile. Assume a 40-year life for each road and an interest rate of 10%. Determine which route should be selected.

B9

Problems 2. Solve for the best choice in terms of utility U=A-0.05X1 -0.02X2 3. For 300 trips, assign them using constant assignment ratio. Route 1 2 3 4 5 M Mode A Car -0.6 Jeep -0.3 Grab -0.4 Bus -0.5 Hours 1.1 1.2 1.3 1.4 1.5 X1 50 10 70 30 X2 30 45 20 35