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The equation Q = A K^ L ^(1 ) is called a Cobbs-Douglas production function, where K is capital investment (in thousands of dollars), L

The equation

Q = A K^ L ^(1 )

is called a Cobbs-Douglas production function, where K is capital investment (in thousands of dollars), L is size of the labour force (measured in worker-hours), Q is the output and A and are constants.

If the output is kept constant, at what rate is the capital investment changing (with respect to time) at a time when L is increasing at the rate of 25 worker-hours per week?

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