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1-49. Maximize N! W(N1, N2,..., NM) = IN,! with respect to each N, under the constraints that EN,=N EE,N,=8 = another fixed constant = a fixed constant Hint: Consider the N's to be continuous, large enough to use Stirling's approximation of N,!, and leave your answer in terms of the two undetermined multipliers.

1-49. Maximize N! W(N1, N2,..., NM) = IN,! with respect to each N, under the constraints that EN,=N EE,N,=8 = another fixed constant = a fixed constant Hint: Consider the N's to be continuous, large enough to use Stirling's approximation of N,!, and leave your answer in terms of the two undetermined multipliers.

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1-49. Maximize N! W(N1, N2,..., NM) II. N,! with respect to each N, under the constraints that EN, =N = a fixed constant ZE,N,=6 = another fixed constant Hint: Consider the N's to be continuous, large enough to use Stirling's approximation of N,!, and leave your answer in terms of the two undetermined multipliers.
Transcribed Image Text:1-49. Maximize N! W(N1, N2,..., NM) II. N,! with respect to each N, under the constraints that EN, =N = a fixed constant ZE,N,=6 = another fixed constant Hint: Consider the N's to be continuous, large enough to use Stirling's approximation of N,!, and leave your answer in terms of the two undetermined multipliers.
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