(Little Bear Oil) You have purchased a lease for the Little Bear Oil well. This well has initial reserves of 100 thousand barrels of oil. In any year you have three choices of how to operate the well: (a) you can not pump, in which case there is no operating cost and no change in oil reserves; (b) you can pump normally, in which case the operating cost is $50 thousand and you will pump out 20% of what the reserves were at the beginning of the year; or (c) you can use enhanced pumping using water pressure, in which case the operating cost is $120 thousand and you will pump out 36% of what the reserves were at the beginning of the year. The price of oil is $10 per barrel and the interest rate is 15%. Assume that both your operating costs and the oil revenues come at the beginning of the year (through advance sales). Your lease is for a period of 3 years. Note the annual interest rate is 15% in this problem. You are asked to operate the oil well in order to maximize the present value of your profits. Under this optimal management, what is the maximum present value of your profits