Your automobile assembly plant has a Cobb-Douglas production function given by

q=x^0.4y^0.6,

whereqis the number of automobiles it produces per year,xis the number of employees, andyis the daily operating budget (in dollars). Annual operating costs amount to an average of$21,000per employee plus the operating budget of $365y. Assume that you wish to produce5,000automobiles per year at a minimum cost. How many employees should you hire? HINT [See Example 5.] (Round your answer to the nearest employee.)