he automobile assembly plant you manage has a Cobb-Douglas production function given by
P = (5x^0.3)(y^0.7)
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 dollars). You maintain a production level of 5000 automobiles per year. If you currently employ 150 workers and are hiring new workers at a rate of 5 per year, how fast is your daily operating budget changing?

Question

he automobile assembly plant you manage has a Cobb-Douglas production function given by
P = (5x^0.3)(y^0.7)
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 dollars). You maintain a production level of 5000 automobiles per year. If you currently employ 150 workers and are hiring new workers at a rate of 5 per year, how fast is your daily operating budget changing?