Suppose you own a small deposit of copper and you plan to completely mine the copper this year and next year. The marginal benefit (inverse demand) of copper mining is p= 10 – 0.5q Where q is the quantity extracted. The marginal cost (supply) of mining copper is p = 3

Economics: Private and Public Choice (MindTap Course List)
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Chapter27: Investment, The Capital Market, And The Wealth Of Nations
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Suppose you own a small deposit of copper and you plan to completely mine the copper this year
and next year.
The marginal benefit (inverse demand) of copper mining is
p= 10 – 0.5ą
Where q is the quantity extracted. The marginal cost (supply) of mining copper is
p = 3
A. First, assume that your copper deposit is not limited. What would be the efficient quantity
to extract annually? Round to 3 decimal places (12.345).
B. Now suppose the total stock of the copper deposit is 20. What is the quantity that should
you extract in period 1 and period 2 under dynamic efficiency, assuming a discount rate
of 15%? Round to 3 decimal places (12.345).
Transcribed Image Text:Suppose you own a small deposit of copper and you plan to completely mine the copper this year and next year. The marginal benefit (inverse demand) of copper mining is p= 10 – 0.5ą Where q is the quantity extracted. The marginal cost (supply) of mining copper is p = 3 A. First, assume that your copper deposit is not limited. What would be the efficient quantity to extract annually? Round to 3 decimal places (12.345). B. Now suppose the total stock of the copper deposit is 20. What is the quantity that should you extract in period 1 and period 2 under dynamic efficiency, assuming a discount rate of 15%? Round to 3 decimal places (12.345).
C. What is the value (price) that corresponds with the optimal consumption choice in period
1 and 2? What is the scarcity value in each period?
D. What is the present value of the marginal net benefit from the optimal choice of copper
extracted in period 1? What is the present value of the marginal net benefit from the
optimal choice of copper extracted in period 2? Comment on your calculations.
E. What is the net present value of the allocation you solved for in part B?
Transcribed Image Text:C. What is the value (price) that corresponds with the optimal consumption choice in period 1 and 2? What is the scarcity value in each period? D. What is the present value of the marginal net benefit from the optimal choice of copper extracted in period 1? What is the present value of the marginal net benefit from the optimal choice of copper extracted in period 2? Comment on your calculations. E. What is the net present value of the allocation you solved for in part B?
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