1. Consider the following two-period extraction problem (assume a zero discount rate): Supply (marginal cost of extraction): MC1 = 4 MC2 = 2 Demand (marginal benefit of consumption): MB1 = 10 - Qi MB2 = 12 - Q2 Total supply of the resource: 10 a) What quantities and prices solve the dynamic efficiency problem, considering both time periods? b) Suppose government imposes a tax of $8 for each unit of the resource, starting in time period 2. Solve for the new prices and quantities in each time period. c) Find the level of the tax such that increases in the tax do not change Qı, but decreases in the tax do change Qi.

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Chapter1: Making Economics Decisions
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Ans: (a) 5.20 Gy (b) 5.04 Gy

 

1. Consider the following two-period extraction problem (assume a zero discount rate):
Supply (marginal cost of extraction): MC1 = 4 MC2 = 2
Demand (marginal benefit of consumption): MB1 = 10 - Qi MB2 = 12 - Q2
Total supply of the resource: 10
a) What quantities and prices solve the dynamic efficiency problem, considering both time periods?
b) Suppose government imposes a tax of $8 for each unit of the resource, starting in time period 2.
Solve for the new prices and quantities in each time period.
c) Find the level of the tax such that increases in the tax do not change Qı, but decreases in the tax
do change Qi.
Transcribed Image Text:1. Consider the following two-period extraction problem (assume a zero discount rate): Supply (marginal cost of extraction): MC1 = 4 MC2 = 2 Demand (marginal benefit of consumption): MB1 = 10 - Qi MB2 = 12 - Q2 Total supply of the resource: 10 a) What quantities and prices solve the dynamic efficiency problem, considering both time periods? b) Suppose government imposes a tax of $8 for each unit of the resource, starting in time period 2. Solve for the new prices and quantities in each time period. c) Find the level of the tax such that increases in the tax do not change Qı, but decreases in the tax do change Qi.
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