The automobile assembly plant you manage has a Cobb-Douglas production function given by
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where P is the number of automobiles the plant produces per year, x is the number of employees, and y is the daily operating budget (in dollars). You maintain a production level of 3,500 automobiles per year. If you currently employ 100 workers and are hiring new workers at a rate of 10 per year, how fast is your daily operating budget changing? Round your answer to the nearest cent.
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A. -$25.66 per year
B. $139.71 per year
C. -$2,566.04 per year
D. $25.66 per year
E. $17.96 per year
Answer: A
Mathematics
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