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Note that 1:5 o ð3n þ 7Þ=ð2n þ 4Þ ≤1:75 for n 4 0, so thatxmax ¼ 1 if θ≥1:75, and xmax ¼ ε if θ ≤1:5, independently of n. Now the two-variable maximization problem, (6), can bewritten as a single-variable problem:
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