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Minimizing average cost

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 .)

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