Suppose that total costs (TC) double for each project listed in Table 5.2. Which project(s) is (are) now economically viable?

a. Plan A only

b. Plans C and D only

c. Plans B and C

d. Plans A and B only

Plan
Total cost of project (\()
Marginal cost (\))
Total Benefit
Marginal Benefit
Net Benefit (TB-TC)
No new construction
0-0--
A: Widen existing highways
100-200--
B: New 2-lane highways
280-350--
C: New 4-lane highways
480-470--
D: New 6-lane highways
1240-580--

Short Answer

Expert verified

Option (a): Plan A only.

Step by step solution

01

Calculating the marginal cost and marginal benefit of the four highway construction plans

The cost-benefit analysis helps in determining the economic feasibility of a plan. An optimal plan would be where maximum benefits are realized at the minimum cost possible, which happens when the marginal benefit is equal to the marginal cost of a plan.

The marginal cost is the change in the cost incurred to produce or shift to another plan. Thus, you can calculate the marginal cost of the present plan by subtracting the total cost of the previous plan from the total cost of the present plan.

For example, the marginal cost of plan A is calculated below:

MCA=TotalcostofplanA-Totalcostofnewconstruction=100-0=$100

Similarly, calculate the marginal cost of each plan, as shown in the diagram below.

The marginal benefit is the change in the benefit due to the production (unit of a good) or shifts to another plan. Thus, calculate the marginal benefit of the present plan by subtracting the total benefit of the previous plan by the total benefit of the present plan.

For example, the marginal benefit of plan A is calculated below:

NBA=TotalbenefitofplanA-TotalcostofplanA=200-100=$100

Similarly, calculate the marginal benefit of each plan, as shown in the diagram below.

Plan
Total cost of project ($)
Marginal cost ($)
Total Benefit
Marginal Benefit
Net Benefit (TB-TC)
No new construction
0-0--
A: Widen existing highways
100100(=100-0)
200200(=200-0)
-
B: New 2-lane highways
280180(=280-100)
350150(=350-200)-
C: New 4-lane highways
480200(=480-280)
470120(=470-350)
-
D: New 6-lane highways
1,240760(1240-760)
580
110(=580-470)
-
02

Comparing the marginal cost and marginal benefit to find the economically feasible plan

You can see in the table that none of the plans fulfills the MB=MC condition. Thus, check for feasibility. A project is economically feasible as long as the benefits exceed the cost, which is happening only in plan A (200>100), here the net benefit is also the maximum (=100, given by the net benefit column where the total cost is subtracted from total benefit for each plan).

Plan
Total cost of project ($)
Marginal cost ($)
Total Benefit
Marginal Benefit
Net Benefit (TB-TC)
No new construction
0-0-0
A: Widen existing highways
100100(=100-0)
200200(=200-0)
100(=200-100)
B: New 2-lane highways
280180(=280-100)
350150(=350-200)70(=350-280)
C: New 4-lane highways
480200(=480-280)
470120(=470-350)
-10(=470-480)
D: New 6-lane highways
1,240760(1240-760)
580
110(=580-470)
-660(=580-1240)

Thus, plan A is the only economically feasible plan where the benefits are maximum.

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Most popular questions from this chapter

We can apply voting paradoxes to the highway construction example of Table 5.2. Suppose there are only five people in a society, and each favors one of the five highway construction options listed in Table 5.2 (“No new construction” is one of the five options). Explain which of these highway options will be selected using a majority paired-choice vote. Will this option be the optimal size of the project from an economic perspective?

Plan
Total cost of project (\()
Marginal cost (\))
Total Benefit
Marginal Benefit
Net Benefit (TB-TC)
No new construction
0-0--
A: Widen existing highways
5050200200150
B: New 2-lane highways
14090350150210
C: New 4-lane highways
240100470120230
D: New 6-lane highways
620380580110-40

Explain the paradox of voting through reference to the accompanying table, which shows the ranking of three public goods by voters Colbert, Fallon, and Kimmel


Ranking
Public good
Colbert
Fallon
Kimmel
Courthouse
2nd Choice
1st Choice
3rd Choice
School
3rd Choice
2nd Choice
1st Choice
Park
1st Choice
3rd Choice
2nd Choice

Draw a production possibilities curve with public goods on the vertical axis and private goods on the horizontal axis. Assuming the economy is initially operating on the curve, indicate how the production of public goods might be increased. How might the output of public goods be increased if the economy is initially operating at a point inside the curve?

What is rent-seeking, and how does it differ from the kinds of profit maximization and profit-seeking that we discussed in previous chapters? Provide an actual or hypothetical example of rent seeking by firms in an industry, by a union, or by a professional association (for example, physicians, school teachers, or lawyers). Why do elected officials often accommodate rent-seeking behavior, particularly by special-interest groups located in their home states?

Consider a corrupt provincial government in which each housing inspector examines two newly built structures each week. All the builders in the province are unethical and want to increase their profits by using substandard construction materials, but they can’t do that unless they can bribe a housing inspector into approving a substandard building.

a. If bribes cost \(1,000 each, how much will a housing inspector make each year in bribes? (Assume that each inspector works 52 weeks a year and gets bribed for every house he or she inspects.)

b. There is a provincial construction supervisor who gets to hire all of the housing inspectors. He himself is corrupt and expects his housing inspectors to share their bribes with him. Suppose that 20 inspectors work for him and that each passes along half the bribes collected from builders. How much will the construction supervisor collect each year?

c. Corrupt officials may have an incentive to reduce the provision of government services to help line their own pockets. Suppose that the provincial construction supervisor decides to cut the total number of housing inspectors from 20 to 10 in order to decrease the supply of new housing permits. This decrease in the supply of permits raises the equilibrium bribe from \)1,000 to \(2,500. How much per year will the construction supervisor now receive if he is still getting half of all the bribes collected by the 10 inspectors? How much more is the construction supervisor getting now than when he had 20 inspectors working in part b? Will he personally be happy with the reduction in government services?

d. What would happen if reducing the number of inspectors from 20 to 10 only increased the equilibrium bribe from \)1,000 to $1,500? In this case, how much per year would the construction supervisor collect from his 10 inspectors? How much less is the construction supervisor getting than when he had 20 inspectors working in part b? In this case, will the construction supervisor be happy with the reduction in government services? Will he want to go back to using 20 inspectors?

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