What are some of the factors that could make social user costs different from private user costs

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Question:

What are some of the factors that could make social user costs different from private user costs in the case of mineral extraction?

a. Graphically and mathematically illustrate how, in a two period model of a nonrenewable resource, economic efficiency in the presence of a positive rate of discount implies increased consumption today and higher prices and lower consumption tomorrow than would be observed with a discount rate of zero.

b. Graphically and mathematically illustrate how user cost is affected by the expectation that future demand for a resource will shift outward on today’s efficient rate of extraction