Suppose you are the sole owner of a small oil reservoir, and you choose to extract all crude oil from this reservoir over a period of 3 years. The information for the depletion and sale from your field are given as follows: - t=0,1,2(3 periods ) - Q=15 units of crude oil beneath your land. - p=$12 per unit, each period (constant price). - r=10% (interest rate) - MC(qt)=2qt where qt is the amount of oil you extract in period t. How much will you optimally extract in each period? (30pts) (i.e. solve for q0,q1,q2 like we did in class)