Question
Consider a small suburb with just eight residents, who each commute once per day to the central business district. The cost of a trip (
Consider a small suburb with just eight residents, who each commute once per day to the central business district. The cost of a trip (T) on the freeway with capacity is such that:
The alternative commuting cost for each of the individual is not subject to congestion and is listed below:
Alt. | |
Person | Cost |
Adam | 36 |
Brigit | 34 |
Cheryl | 32 |
David | 30 |
Emily | 28 |
Frank | 26 |
Gail | 24 |
Henry | 22 |
a. Using the above information to compute AC for T = 0,1, 2, 3, . . .8.
Next, compute total cost from use of the freeway for each traffic level. Total cost is just T times AC. Finally, compute marginal (social) cost (MC), which equals the change in total cost from adding a person to the freeway.
T |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
b. Find the equilibrium level of T. Explain.
c. Find the socially optimal level of T. Explain.
Consider a small suburb with just eight residents, who each commute once per day to the central business district. The cost of a trip (1) on the freeway with capacity T = 5 is such that: ACprivate = {- 3+127) ifT>T The alternative commuting cost for each of the individual is not subject to congestion and is listed below: Alt. Person Cost 36 34 Adam Brigit Cheryl David 32 30 28 Emily Frank Gail 26 24 22 Henry a. Using the above information to compute AC for T = 0,1,2,3,...8. Next, compute total cost from use of the freeway for each traffic level. Total cost is just T times AC. Finally, compute marginal (social) cost (MC), which equals the change in total cost from adding a person to the freeway. a. Using the above information to compute AC for T = 0,1, 2, 3,...8. Next, compute total cost from use of the freeway for each traffic level. Total cost is just 7 times AC. Finally, compute marginal (social) cost (MC), which equals the change in total cost from adding a person to the freeway. T 0 1 2 3 4 5 6 7 8 b. Find the equilibrium level of T. Explain. c. Find the socially optimal level of T. Explain. Consider a small suburb with just eight residents, who each commute once per day to the central business district. The cost of a trip (1) on the freeway with capacity T = 5 is such that: ACprivate = {- 3+127) ifT>T The alternative commuting cost for each of the individual is not subject to congestion and is listed below: Alt. Person Cost 36 34 Adam Brigit Cheryl David 32 30 28 Emily Frank Gail 26 24 22 Henry a. Using the above information to compute AC for T = 0,1,2,3,...8. Next, compute total cost from use of the freeway for each traffic level. Total cost is just T times AC. Finally, compute marginal (social) cost (MC), which equals the change in total cost from adding a person to the freeway. a. Using the above information to compute AC for T = 0,1, 2, 3,...8. Next, compute total cost from use of the freeway for each traffic level. Total cost is just 7 times AC. Finally, compute marginal (social) cost (MC), which equals the change in total cost from adding a person to the freeway. T 0 1 2 3 4 5 6 7 8 b. Find the equilibrium level of T. Explain. c. Find the socially optimal level of T. ExplainStep by Step Solution
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