You have two money machines, both of which increase any money inserted into them. The

Chapter 10, Problem 10.1.56

(choose chapter or problem)

You have two money machines, both of which increase any money inserted into them. The first machine doubles your money. The second adds five dollars. The money that comes out is described by d(x)=2x in the first case and a(x) = x + 5 in the second, where x is the number of dollars inserted. The machines can be hooked up so that the money coming out of one machine goes into the other. Find formulas for each of the two possible composition machines. Is one machine more profitable than the other?

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