6. The cost equation for a certain company is given by C(q) = 0.5q3 − 162q2...

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6. The cost equation for a certain company is given by
C(q) = 0.5q3 − 162q2 + 13500q,

where q is the quantity of items produced and the cost, C, isgiven in dollars.

  1. (a) (1 pt) Find the equation for the average cost and theequation for C′(q).

    a(q) =

    C′(q) =

  2. (b) (1 pt) Find the minimum average cost and the quantity atwhich it occurs. Show work.

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