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The Impact of Taxes and Technological Development on Depletable Resources

Assume an increasing marginal-extraction-cost model of the allocation of a depletable resource with a renewable substitute (refer to text and/or notes for graph). Showing diagrammatically, what happens if:
a. A per-unit tax if imposed by the government on each unit of the depletable resource used. Be sure to show the new effect on (i) marginal extraction cost and marginal user cost; (ii) quantity extracted; and (iii) switching point.
b. Now on a new graph, show diagrammatically what happens to the (i) quantity extracted; and (ii) switching point if technological development in resource extraction reduces the extraction cost for each unit by an amount equal to the per-unit tax.

Sample Answer

 

Title: The Impact of Taxes and Technological Development on Depletable Resources

Introduction: The allocation of depletable resources is a critical concern in today’s world. As these resources are limited, it is essential to understand the effects of external factors such as taxes and technological development on their extraction. By analyzing the marginal extraction cost, marginal user cost, quantity extracted, and the switching point, we can gain insights into the consequences of these influences.

Thesis Statement: The imposition of a per-unit tax on depletable resources and the subsequent technological development in resource extraction both have distinct impacts on the quantity extracted and the switching point.

I. Effects of a Per-Unit Tax on Depletable Resources: a. Marginal Extraction Cost and Marginal User Cost:

The imposition of a per-unit tax increases the marginal extraction cost as it adds an additional cost to each unit extracted.
The marginal user cost remains unchanged as it reflects the opportunity cost of consuming the resource.
b. Quantity Extracted:

The quantity extracted decreases due to the increased marginal extraction cost resulting from the tax.
The imposition of the per-unit tax acts as a disincentive for resource extraction, leading to a reduction in the overall quantity extracted.
c. Switching Point:

The switching point refers to the level at which it becomes more economically viable to switch from using the depletable resource to the renewable substitute.
With the imposition of the per-unit tax, the switching point is pushed further towards a lower quantity extracted compared to its original position.
II. Effects of Technological Development on Resource Extraction: a. Quantity Extracted:

Technological development in resource extraction reduces the extraction cost for each unit.
This reduction in extraction cost leads to an increase in the quantity extracted as it becomes more economically viable to extract larger quantities of the resource.
b. Switching Point:

As technological development reduces the extraction cost by an amount equal to the per-unit tax, it effectively nullifies the impact of the tax.
Consequently, the switching point remains unchanged, as there is no alteration in the relative costs between using the depletable resource and its renewable substitute.

Conclusion: The imposition of a per-unit tax on depletable resources has a negative impact on the quantity extracted, pushing the switching point towards a lower quantity. However, technological development in resource extraction can offset the effect of the tax by reducing extraction costs. This development leads to an increase in the quantity extracted without affecting the switching point. Understanding these dynamics is crucial for policymakers and stakeholders to make informed decisions regarding resource allocation and sustainability.

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