Draw consumption and marginal cost time paths for a depletable resource with a stable demand and constant MC (this is the first model we drew in class) for each of the below descriptions. Illustrate how what is described differs from the optimal paths for the depletable, utilizing the same graph. (So, you'll have two lines on each time path model: one for the reference depletable, and one for what is described). This is an exercise called "comparative statics". a. b. Society expects a reasonable renewable perfect substitute with constant MC to become available in the future, where Choke Price > MCrenewable > MC depletable. i. Show change in time paths ii. Do we still exhaust the resource? Consider TWO depletables, but one with a higher marginal costs. For example, Choke Price > MCoil > MCnatural gas. i. Show change in time paths. ii. Do we still exhaust the resource? iii. Google: Is natural gas cleaner or dirtier to burn than oil? (cite sources APA or Chicago style)

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Chapter1: Making Economics Decisions
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hi i need help with part b i and ii. Here are the previous steps from part a. 

In environmental economics, the constant cost and increasing marginal cost depletable resource analysis is an
important part to study the effects of cost of extraction, availability of renewable resource substitute and the
tendency of resource to exhaust over a time period. The time path analysis model helps to study the
comparative analysis of extraction and whether the resource will exhaust and when.
Step 2
Part a.
The graph of time path of resources can be given as follows:
Quantity of extraction and usage of resource
Extraction and use of depletable resource with constant cost
Extraction of renewable resource
Extraction of renewable resource starts
10
15
20
25
Time
The change in time path can be seen. As both the depletable and renewable resources are perfect substitutes,
with constant marginal costs, the usage of these resources varies over the time period. Suppose from 0-15
time periods, only depletable resource was available. The quantity of extraction of depletable resource is high
initially. But, as more and more resource is extracted, its quantity available decreases, and hence the
extraction also decreases. But the rate of decrease in extraction is lower. In the 15th time period, the
renewable perfect substitute resource is discovered.
Once the extraction starts from this point, shown by dotted line, the rate of extraction of depletable resource
falls rapidly. Businesses gradually start substituting the resource with renewable resource. The line of
extraction of renewable resource shows upward trend. In next 10 time periods, the use of renewable resource
rapidly increases, and goes on increasing.
Step 3
The resource does not exhaust in near future, but in long term, it might exhaust. The rate of extraction
decreases post the switch to new renewable substitute. But, the cost and choke price of renewable resource is
higher than the depletable resource. This means not all businesses will afford to substitute with renewable
resource and hence in future, the extraction of depletable resource will still continue. But due to partial switch
the resource will not exhaust early.
Step 4
Thus, the time path shows that the extraction of depletable resource will decrease over time, but not rapidly
as the renewable resource cost is higher than the depletable resource. Also, depletable resource will not
exhaust in near future.
Transcribed Image Text:In environmental economics, the constant cost and increasing marginal cost depletable resource analysis is an important part to study the effects of cost of extraction, availability of renewable resource substitute and the tendency of resource to exhaust over a time period. The time path analysis model helps to study the comparative analysis of extraction and whether the resource will exhaust and when. Step 2 Part a. The graph of time path of resources can be given as follows: Quantity of extraction and usage of resource Extraction and use of depletable resource with constant cost Extraction of renewable resource Extraction of renewable resource starts 10 15 20 25 Time The change in time path can be seen. As both the depletable and renewable resources are perfect substitutes, with constant marginal costs, the usage of these resources varies over the time period. Suppose from 0-15 time periods, only depletable resource was available. The quantity of extraction of depletable resource is high initially. But, as more and more resource is extracted, its quantity available decreases, and hence the extraction also decreases. But the rate of decrease in extraction is lower. In the 15th time period, the renewable perfect substitute resource is discovered. Once the extraction starts from this point, shown by dotted line, the rate of extraction of depletable resource falls rapidly. Businesses gradually start substituting the resource with renewable resource. The line of extraction of renewable resource shows upward trend. In next 10 time periods, the use of renewable resource rapidly increases, and goes on increasing. Step 3 The resource does not exhaust in near future, but in long term, it might exhaust. The rate of extraction decreases post the switch to new renewable substitute. But, the cost and choke price of renewable resource is higher than the depletable resource. This means not all businesses will afford to substitute with renewable resource and hence in future, the extraction of depletable resource will still continue. But due to partial switch the resource will not exhaust early. Step 4 Thus, the time path shows that the extraction of depletable resource will decrease over time, but not rapidly as the renewable resource cost is higher than the depletable resource. Also, depletable resource will not exhaust in near future.
Draw consumption and marginal cost time paths for a depletable resource with a stable
demand and constant MC (this is the first model we drew in class) for each of the below
descriptions. Illustrate how what is described differs from the optimal paths for the depletable,
utilizing the same graph. (So, you'll have two lines on each time path model: one for the
reference depletable, and one for what is described). This is an exercise called "comparative
statics".
Society expects a reasonable renewable perfect substitute with
constant MC to become available in the future, where Choke Price >
MCrenewable > M Caepletable.
i. Show change in time paths
ii. Do we still exhaust the resource?
а.
b.
Consider TWO depletables, but one with a higher marginal costs. For
example, Choke Price > MCoil > MCnatural gas·
i. Show change in time paths.
ii. Do we still exhaust the resource?
iii. Google: Is natural gas cleaner or dirtier to burn than oil? (cite sources APA
or Chicago style)
Explain why increasing marginal extraction costs are necessary to
produce a switch to a cleaner substitute before exhausting the depletable.
С.
I Expand
Transcribed Image Text
Draw consumption and marginal cost time paths for a depletable resource with a stable demand and constant MC
(this is the first model we drew in class) for each of the below descriptions. Illustrate how what is described differs
from the optimal paths for the depletable, utilizing the same graph. (So, you'll have two lines on each time path
model: one for the reference depletable, and one for what is described). This is an exercise called "comparative
statics". a. Society expects a reasonable renewable perfect substitute with constant MC to become available in the
future, where Choke Price > MCrenewable > M Caepletable· i. Show change in time paths ii. Do we still exhaust the
resource?
Transcribed Image Text:Draw consumption and marginal cost time paths for a depletable resource with a stable demand and constant MC (this is the first model we drew in class) for each of the below descriptions. Illustrate how what is described differs from the optimal paths for the depletable, utilizing the same graph. (So, you'll have two lines on each time path model: one for the reference depletable, and one for what is described). This is an exercise called "comparative statics". Society expects a reasonable renewable perfect substitute with constant MC to become available in the future, where Choke Price > MCrenewable > M Caepletable. i. Show change in time paths ii. Do we still exhaust the resource? а. b. Consider TWO depletables, but one with a higher marginal costs. For example, Choke Price > MCoil > MCnatural gas· i. Show change in time paths. ii. Do we still exhaust the resource? iii. Google: Is natural gas cleaner or dirtier to burn than oil? (cite sources APA or Chicago style) Explain why increasing marginal extraction costs are necessary to produce a switch to a cleaner substitute before exhausting the depletable. С. I Expand Transcribed Image Text Draw consumption and marginal cost time paths for a depletable resource with a stable demand and constant MC (this is the first model we drew in class) for each of the below descriptions. Illustrate how what is described differs from the optimal paths for the depletable, utilizing the same graph. (So, you'll have two lines on each time path model: one for the reference depletable, and one for what is described). This is an exercise called "comparative statics". a. Society expects a reasonable renewable perfect substitute with constant MC to become available in the future, where Choke Price > MCrenewable > M Caepletable· i. Show change in time paths ii. Do we still exhaust the resource?
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