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In a certain factory, assume that the number of workers is constant. The number of minutes that it takes to make a single unit of a product and the number of units of the product that are made per day satuty the relationship U = k/N Whereke in a constant. Which of the following best describes the relationship between the rate of change, with respect to time to U and the rate of change, with respect to time t, of N? A. dU/di = k / (dN/dt) B. dU/di = -k/ (dN/dt) C, dU/di = k/ N² (dN/dt) D. dU/di = -k/ N² (dN/dt)

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Final answer:

The relationship between the rate of change, with respect to time (dU/dt), and the rate of change, with respect to time (dN/dt), of N is given by the equation: dU/dt = k / (dN/dt). The correct option is A. dU/dt = k / (dN/dt).

Step-by-step explanation:

The relationship between the rate of change, with respect to time (dU/dt), and the rate of change, with respect to time (dN/dt), of N is given by the equation:

dU/dt = k / (dN/dt)

Therefore, the correct option is A. dU/dt = k / (dN/dt).

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