Solve the below:
Q1. Find all relative extrema. Use the Second Derivative Test if applicable.
g(x) = x^2(6-x)^3
Q2. A manufacturer has determined that the total cost C of operating a factory is C = 0.5x^2 + 15x + 5000, where x is the number of units produced. At what level of production will the average cost be minimized? (The average cost per unit is C/x.)