ou wish to determine the dynamically efficient rate of extraction of a non-renewable resource of two time periods, t1and t2. The demand function for the resource is known to remain constant over time, and is given by the inverse demand function: Pt = 700 – 0.25*Xt Marginal extraction costs for the resource are constant at 200 (MEC = 200). All of your work (equations, calculations, etc.) must be shown. In addition, you must draw graphs to help you illustrate and explain your solution. You will receive full credit only if you fully explain and illustrate your answers. a) The total available stock, S, is 2500 units and the discount rate is r = 0.05 (5%). What are the dynamically efficient quantities of resource extraction in the two periods? Please call these extraction rates x1 and x2. Also, determine the market price for the resource in each period, P1 and P2. Next, determine the marginal user cost in each period. Finally estimate total welfare (CS and PS) for the two periods.
. You wish to determine the dynamically efficient rate of extraction of a non-renewable resource of two time periods, t1and t2. The demand function for the resource is known to remain constant over time, and is given by the inverse demand function:
Pt = 700 – 0.25*Xt
Marginal extraction costs for the resource are constant at 200 (MEC = 200). All of your work (equations, calculations, etc.) must be shown. In addition, you must draw graphs to help you illustrate and explain your solution. You will receive full credit only if you fully explain and illustrate your answers.
a) The total available stock, S, is 2500 units and the discount rate is r = 0.05 (5%). What are the dynamically efficient quantities of resource extraction in the two periods? Please call these extraction rates x1 and x2. Also, determine the market price for the resource in each period, P1 and P2. Next, determine the marginal user cost in each period. Finally estimate total welfare (CS and PS) for the two periods.
b) Describe the effect on marginal user cost, extraction in each period, and mineral prices of an: (1) interest rate lower than 5 percent, (2) increase in demand in the future period. (Note: consider each effect separately, numerical calculations are not required.)
c) Now suppose that there is open access to the available stock of resource, describe the effect on mineral prices, extraction in each period, and marginal user cost. Estimate total welfare with open access. Has welfare increased or decreased?
Please show all work and explain
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