Consider the following two-period exhaustible resource problem. Please label the two consecutive periods 0 and 1. The magnitude of the fixed stock at the beginning of year 0 is 100. The (inverse) demand function for the resource is given by P = 200 - Q, where P is the price and Q is the quantity of the resource. The cost of extracting the resource is given by C(Q) = 10Q, where C is the cost and Q is the quantity of the resource. The discount rate is 0.1. Find the optimal extraction levels for both periods.