price of $10 per barrel and that the cost of operating a well for 1 year is $1,000. Total output per year (Q) of the oil field is a function of the number of wells (n) operating in the field. In particular, Q = 500n - n^2, and the amount of oil produced by each well (q) is given by q= Q/n= 500-n Describe the equilibrium output and the equilibrium number of wells in this perfectly competitive case. Is there a divergence between private and social marginal cost in the industry? Suppose now that the government nationalizes the oil field. How many oil wells should it operate? What will total output be? What will the o
19.3
Suppose the oil industry in Utopia is
Total output per year (Q) of the oil field is a function of the number of wells (n) operating in the field. In particular,
Q = 500n - n^2,
and the amount of oil produced by each well (q) is given by
q= Q/n= 500-n
-
Describe the equilibrium output and the equilibrium number of wells in this perfectly competitive case. Is there a divergence between private and
social marginal cost in the industry? -
Suppose now that the government nationalizes the oil field. How many oil wells should it operate? What will total output be? What will the output per well be?
-
As an alternative to nationalization, the Utopian govern- ment is considering an annual license fee per well to dis- courage overdrilling. How large should this license fee be if it is to prompt the industry to drill the optimal number of wells?
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