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Consider the intertemporal allocation of a nonrenewable resource (NRR) between two periods, 1 and 2. The total net benefit in period 1 is TNB

 

Consider the intertemporal allocation of a nonrenewable resource (NRR) between two periods, 1 and 2. The total net benefit in period 1 is TNB = 1000 - - Q - and the total net benefit in period 2 is 2 1.10 TNB = 110Q2. The two periods are one year apart and the discount rate is 10%. The finite quantity of the NRR is Qmax = 100 units. 2 Write the Lagrangian associated with the intertemporal constrained maximization problem imposing as additional constraints that Q 0 and Q 0.

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