A city currently emits 16million gallons (MG) of raw sewage into a lake that is beside the city. Table 12.13shows the total costs (TC) in thousands of dollars of cleaning up the sewage to different levels, together with the total benefits (TB) of doing so. Benefits include environmental, recreational, health, and industrial benefits.

a. Using the information in Table 12.13calculate the marginal costs and marginal benefits of reducing sewage emissions for this city.

b. What is the optimal level of sewage for this city? How can you tell?

Short Answer

Expert verified

a. Marginal cost increases while marginal benefits decreases.

b. 4MGis the most optimum level of sewage.

Step by step solution

01

Step 1. Given information


Total costTotal benefits
16 MGCurrentCurrent
12 MG50800
8 MG1501300
4 MG5001850
0 MG12002000
02

Part (a)

The difference between successive total costs can be used to compute the marginal cost. Reducing sewage emissions costs 50,100,350,700dollars. The marginal benefits are 800,500,550,150respectively, and can be calculated by subtracting successive total benefits.

Externalities also incurred additional costs in the form of "external costs," lowering equilibrium quantity and raising equilibrium price.


Marginal costMarginal benefit
16 MG50800
12 MG100500
8 MG350550
4 MG700150
0 MG--
03

 Step 3: Part (b) Content Introduction

A benefit received from the use of one additional unit of commodity or service is referred to as a marginal benefit.

The marginal cost is the difference in overall production costs as a result of manufacturing one more unit.

04

Part (b)  Content Explanation

We can deduce from the table above that 4MGis the most ideal sewage level because,

The biggest gap between total cost and total revenue is the most optimal level of sewage.

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Most popular questions from this chapter

Table 12.12, shows the supply and demand conditions for a firm that will play trumpets on the streets when requested. QS1 is the quantity supplied without social costs. QS2 is the quantity supplied with social costs. What is the negative externality in this situation? Identify the equilibrium price and quantity when we account only for private costs, and then when we account for social costs. How does accounting for the externality affect the equilibrium price and quantity?

In the tradeoff between economic output and environmental protection, what do the combinations on the protection possibility curve represent?

What is an externality?

Table 12.5 provides the supply and demand conditions for a manufacturing firm. The third column represents a supply curve without accounting for the social cost of pollution. The fourth column represents the supply curve when the firm is required to account for the social cost of pollution. Identify the equilibrium before the social cost of production is included and after the social cost of production is included.

Four firms called Elm, Maple, Oak, and Cherry, produce wooden chairs. However, they also produce a great deal of garbage (a mixture of glue, varnish, sandpaper, and wood scraps). The first row of Table 12.6shows the total amount of garbage (in tons) that each firm currently produces. The other rows of the table show the cost of reducing garbage produced by the first five tons, the second five tons, and so on. First, calculate the cost of requiring each firm to reduce the weight of its garbage by one-fourth. Now, imagine that the government issues marketable permits for the current level of garbage, but the permits will shrink the weight of allowable garbage for each firm by one-fourth.

What will be the result of this alternative approach to reducing pollution?


Elm
Maple
Oak
Cherry
Current production of garbage (in tons)
20406080
Cost of reducing garbage by first five tons
\(5,500
\)6,300
\(7,200
\)3,000
Cost of reducing garbage by second five tons
\(6,000
\)7,200
\(7,500
\)4,000
Cost of reducing garbage by third five tons
\(6,500
\)8,100
\(7,800
\)5,000
Cost of reducing garbage by third five tons
\(7,000
\)9,000
\(8,100
\)6,000
Cost of reducing garbage by fifth five tons
\(0
\)9,900
\(8,400
\)7,000
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