Bill Gates offers you a job for one month. He gives you a choice of one of the two possible salary schemes: you can receive either a sum of $10,000 a day for each day of the month (including weekends), or you will receive your payment, according to the following formula: 1 cent for the first day, 2 cents for the second day, 4 cents for the third day, 8 cents for the fourth day etc. Which payment would you choose and why?

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