Your Automobile Assembly Plant Has a Cobb-Douglas Production Function Given $q = x ^ { 0.5 } y ^ { 0.5 }$

Multiple Choice

Your automobile assembly plant has a Cobb-Douglas production function given by
$q = x ^ { 0.5 } y ^ { 0.5 }$
Where q is the number of automobiles it produced per year, x is the number of employees, and y is the daily operating budget (in dollars) . Annual operating costs amount to an average of $30,000 per employee plus the operating budget of $\$ 300 y$ . Assume you wish to produce 1,500 automobiles per year at a minimum cost. How many employees should you hire

A) 180 employees
B) 75 employees
C) 30 employees
D) 150 employees
E) 225 employees