Assignment:
Q1. Find all relative extrema. Use the Second Derivative Test if applicable.
g(x) = x2(6x - x)
Q2. A manufacturer has determined that the total cost C of operating a factory is C = 0.5x2 + 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 .)
Provide complete and step by step solution for the question and show calculations and use formulas.