Daisy received a tape recorder as a birthday gift and is not able to return it. Her utility function is U (x, y, z) = x + z 1/2 f (y), where z is the number of tapes she buys, y is the number of tape recorders she has, and x is the amount of money she has left to spend. f (y) = 0 if y < 1 and f (y) = 24 if y is 1 or greater. The price of tapes is $4 and she can easily afford to buy dozens of tapes. How many tapes will she buy?
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