2. Your country is considering how to allocate cobalt, a non-renewable natural resource. The per period demand curve is: P = 120 - 2q The marginal cost of extraction is 20. There is a total supply of cobalt (Q) is 80. a. [5 points] What is the static efficient level of extraction in each period? b. [10 points] What is the dynamically efficient level of extraction in each period with a discount rate of 0? c. [5 points] Graph the dynamically efficient level of extraction in each period with the quantity of resource on the horizontal, period 1 net benefits on the left and period 2 net benefits on the right-hand axis. d. [10 points] What is the dynamically efficient level of extraction in each period with a discount rate of 20%? e. [20 points] Imagine that this was a three-period model. What would the dynamically efficient outcome be with a discount rate of 20%? I

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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2. Your country is considering how to allocate cobalt, a non-renewable natural resource. The
per period demand curve is:
P = 120 - 2q
The marginal cost of extraction is 20. There is a total supply of cobalt (Q) is 80.
a. [5 points] What is the static efficient level of extraction in each period?
b. [10 points] What is the dynamically efficient level of extraction in each period with a
discount rate of 0?
c. [5 points] Graph the dynamically efficient level of extraction in each period with the
quantity of resource on the horizontal, period 1 net benefits on the left and period 2
net benefits on the right-hand axis.
d. [10 points] What is the dynamically efficient level of extraction in each period with a
discount rate of 20%?
e. [20 points] Imagine that this was a three-period model. What would the dynamically
efficient outcome be with a discount rate of 20%?
I
Transcribed Image Text:2. Your country is considering how to allocate cobalt, a non-renewable natural resource. The per period demand curve is: P = 120 - 2q The marginal cost of extraction is 20. There is a total supply of cobalt (Q) is 80. a. [5 points] What is the static efficient level of extraction in each period? b. [10 points] What is the dynamically efficient level of extraction in each period with a discount rate of 0? c. [5 points] Graph the dynamically efficient level of extraction in each period with the quantity of resource on the horizontal, period 1 net benefits on the left and period 2 net benefits on the right-hand axis. d. [10 points] What is the dynamically efficient level of extraction in each period with a discount rate of 20%? e. [20 points] Imagine that this was a three-period model. What would the dynamically efficient outcome be with a discount rate of 20%? I
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