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Question: Suppose that that inverse demand function for a depletable resource is given by:
p = 10 - q
where p is the price and q is the quantity. Assume that 6 units of the resource are available to be allocated between two periods. Assume that the marginal cost of supplying the resource in each period is $4. (there is not given discount rate in this question)
a) In a statically efficient allocation, how much would be allocated to each period? Draw a diagram to explain your results.
b) In a dynamically efficient allocation, how much would be allocated to each period? Draw a diagram to explain your results.
c) How would each of the following affect the dynamically efficient resource allocation? Draw a diagram to explain your results.
i An increase in the discount rate.
ii An increase in the total supply of the resource.
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There is a market research group that can provide perfect information about the success or otherwise of the product at a cost of $20,000.
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