Question
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 20x^0.4y^0.6, where P is the number of automobiles it produces
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 20x^0.4y^0.6, where P is the number of automobiles it produces per year, x is the number of employees, and y is the daily operating budget (in thousands of dollars). You maintain a production level of 600 automobiles per year.
If you currently employ 100 workers and are hiring new workers at a rate of 15 per year, how fast is your daily operating budget changing?
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