The inverse demand function for a depletable resources is P=8-0.4q and the marginal cost of supplying it is $2   If 20 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to the first period and how much to the second period when the discount rate is 5% and 10% (Hint Demand Function is the same in both periods) Given the discount rate what would be the efficient price in the two periods? What would be the marginal user cost in each period?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.7P
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The inverse demand function for a depletable resources is P=8-0.4q and the marginal cost of supplying it is $2

 

  1. If 20 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to the first period and how much to the second period when the discount rate is 5% and 10% (Hint Demand Function is the same in both periods)
  2. Given the discount rate what would be the efficient price in the two periods?
  3. What would be the marginal user cost in each period?
  4. Assume a discount rate of 0% determine the efficient allocation amount between the two period
  5. Prepare a schedule of the discount rate and the efficient allocation for the two period and graph the relationship. What can you say about the discount rate and the allocation between the two periods?
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