Jet Black is an international conglomerate with a petroleum division and is currently competing in an auction to win the right to drill for crude oil on a large piece of land in one year. The current market price of crude oil is $55 per barrel, and the land is believed to contain 125,000 barrels of oil. If found, the oil would cost $10 million to extract. Treasury bills that mature in one year yield a continuously compounded interest rate of 6.5 per cent, and the standard deviation of the returns on the price of crude oil is 50 per cent. Use the Black–Scholes model to calculate the maximum bid that the company should be willing to make at the auction.