5. (15%) Let M, N, k be three positive constants, with M> N. Solve the differential equation = k(M - y)(N - y),under the initial condition y(0) = 0.

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Chia Chung

詳解 #6201774

2024/08/30

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6. (15%) Suppose x units of labor and y units of capital are required to producef(x, y) = 100x3/4y1/4units of a certain product. If each unit of labor costs $200 and each unit of capital costs $300 and a total of $60,000 is available for production, determine how many units of labor and how many units of capital should be used to maximize production.

5. (15%) Let M, N, k be three positive constants, with M> N. Solve the differential equation
= k(M - y)(N - y),
under the initial condition y(0) = 0.

詳解 (共 1 筆)

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