Suppose the inverse demand function for a depletable resource is linear, P = 25 – 0.4q, and the marginal supply cost is constant at £5.i. If 40 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to period 1 and how much to period 2 when the discount rate is r = 0.15? Show your working ii. What is the marginal user cost in each period? Provide a one-sentence economic interpretation iii. Show in a diagram how the marginal user cost would change if an energy price shock were to raise the marginal cost in period 2 to £10
Suppose the inverse demand function for a depletable resource is linear, P = 25 – 0.4q, and the marginal supply cost is constant at £5.i. If 40 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to period 1 and how much to period 2 when the discount rate is r = 0.15? Show your working ii. What is the marginal user cost in each period? Provide a one-sentence economic interpretation iii. Show in a diagram how the marginal user cost would change if an energy price shock were to raise the marginal cost in period 2 to £10
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.7P
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Suppose the inverse demand function for a depletable resource is linear, P = 25 – 0.4q, and the marginal supply cost is constant at £5.
i. If 40 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to period 1 and how much to period 2 when the discount rate is r = 0.15? Show your working
i. If 40 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to period 1 and how much to period 2 when the discount rate is r = 0.15? Show your working
ii. What is the marginal user cost in each period? Provide a one-sentence economic interpretation
iii. Show in a diagram how the marginal user cost would change if an energy price shock were to raise the marginal cost in period 2 to £10
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