The profit from the supply of a certain commodity is modeled as P(q) 30+ 60 In(q) thousand dollars where q is the number of million units produced. (a) Write an expression for average profit (in dollars per unit) when q million units are produced. 0.001 (30+60 Ing) P(a)- 9 (b) What are the profit and the average profit when 12 million units are produced? (Round your an profit $179.089 X thousand average profit $ 30.099 x (c) How rapidly are profit and average profit changing when 12 million units are produced? (Round thousand per million units profit average profit $5 $ -8.27 X per million units (d) Why should managers consider the rate of change of average profit when making production deci Producing more products will lead to an increase in the rate of change of average profit. The rate of change of average profit indicates the status of the economy. O Maximum average profit generally occurs at a lower production level than maximum profit. Average profit is the best Indicator of how the market will perform in the future.