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Consider an initial stock of 5000 tons of high grade ore. The demand function for this ore is P = 2400 – 0.2Q (Q is measured in tons/year), and the cost of extraction is constant at c = $200/ton. The discount rate is r = 0.10.
(a) Calculate Q0, Q1, p0, and p1.
(b) Recalculate Q0, Q1, p0, and p1 using a discount rate of r = 0.10 and a cost of c = $400/ton.
(c) Using a discount rate of r = 0.10 and a cost of c = $200/ton. What is the maximum stock level, Sˆ, for which the entire stock will be mined in one season? Show your work.
Speculate about the behavior that could result from these transactions and propose at least two (2) strategies for dealing with them.
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