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The individual always seeks to maximize his or her subjective value. Consequently, if he or she has only one unit, it will be allocated to the highest use U1. Similarly, a stock of (m - 1) units will be allocated to uses U1 through Um-1, while a stock of m units will be allocated to U1 through Um. In a stock of m units, the marginal utility of the last unit is therefore Um. Since the Ui are arranged in descending utility sequence, that marginal utility decreases as the size m of the stock increases.