Suppose that there is a nonrenewable resource that can be consumed today (period 1) or tomorrow (period 2) and that it has a fixed supply of 10 units. Assume that the inverse demand for the resource in each period is given by: P, = 100-50 P2 = 100-502 Moreover, assume that the marginal extraction cost is constant in both periods at $20 and that the social discount rate is 10% (ie, r=0.10) If the social discount rate is decreased to 5% (ie, r=0.05), then how much less of the resource would be consumed in the first period? (Hint: solve for the efficient allocation of the resource in first period Q, at r=0.10 and again at r=0.05. The difference between these two values is your answer.) Please round your intermediary calculations (e.g., prices and quantities) and your final answer to two decimal places if necessary